{"id":4941,"date":"2022-03-25T20:14:14","date_gmt":"2022-03-25T14:44:14","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=4941"},"modified":"2022-04-07T12:28:09","modified_gmt":"2022-04-07T06:58:09","slug":"go-math-grade-6-answer-key-chapter-4-model-ratios","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-4-model-ratios\/","title":{"rendered":"Go Math Grade 6 Answer Key Chapter 4 Model Ratios"},"content":{"rendered":"<p>Model Ratios are an interesting topic in Grade 6.\u00a0 The students who are in search of Go Math Grade 6 Answer Key Chapter 4 Model Ratios can get them on this page. The best and quick way of learning is possible with Go Math Grade 6 Chapter 4 Model Ratios Answer Key. We have provided the solutions for all the questions in an easy manner in our Go Math Grade 6 Chapter 4 Model Ratios Solution Key. Get Free Access to Download Go Math Grade 6 Chapter 4 Model Ratios Solution Key PDF @ ccssmathanswers.com Thus make use of the links and Download HMH <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-6-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go math Grade 6 answer key<\/a> chapter 4 model ratios and get the best results.<\/p>\n<h2>Go Math Grade 6 Chapter 4 Model Ratios Answer Key<\/h2>\n<p>The easy-solving of math problems will help you to understand all the difficult problems. So, begin your practice now and be on the top list to score good marks in the exam. Use Go Math 6 Standard Answer Key Chapter 4 Model Ratios handy solutions to learn deep maths online or offline. Come and fall in love with maths by practicing the problems from HMH Go Math 6th Grade Chapter 4 Model Ratios Answer Key. Hit the links and start your preparation now.<\/p>\n<p><strong>Lesson 1: Investigate \u2022 Model Ratios<\/strong><\/p>\n<ul>\n<li><a href=\"#Model_Ratios_\u2013_Page_No._213\">Model Ratios \u2013 Page No. 213<\/a><\/li>\n<li><a href=\"#Model_Ratios_\u2013_Page_No._214\">Model Ratios \u2013 Page No. 214<\/a><\/li>\n<li><a href=\"#Model_Ratios_\u2013_Page_No._215\">Model Ratios \u2013 Page No. 215<\/a><\/li>\n<li><a href=\"#Model_Ratios_Lesson_Check_\u2013_Page_No._216\">Model Ratios Lesson Check \u2013 Page No. 216<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Ratios and Rates<\/strong><\/p>\n<ul>\n<li><a href=\"#Ratios_and_Rates_\u2013_Page_No._219\">Ratios and Rates \u2013 Page No. 219<\/a><\/li>\n<li><a href=\"#Ratios_and_Rates_\u2013_Page_No._220\">Ratios and Rates \u2013 Page No. 220<\/a><\/li>\n<li><a href=\"#Ratios_and_Rates_\u2013_Page_No._221\">Ratios and Rates \u2013 Page No. 221<\/a><\/li>\n<li><a href=\"#Ratios_and_Rates_Lesson_Check_\u2013_Page_No._222\">Ratios and Rates Lesson Check \u2013 Page No. 222<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Equivalent Ratios and Multiplication Tables<\/strong><\/p>\n<ul>\n<li><a href=\"#Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._225\">Equivalent Ratios and Multiplication Tables \u2013 Page No. 225<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._226\">Equivalent Ratios and Multiplication Tables \u2013 Page No. 226<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._227\">Equivalent Ratios and Multiplication Tables \u2013 Page No. 227<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Multiplication_Tables_Lesson_Check_\u2013_Page_No._228\">Equivalent Ratios and Multiplication Tables Lesson Check \u2013 Page No. 228<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Problem Solving \u2022 Use Tables to Compare Ratios<\/strong><\/p>\n<ul>\n<li><a href=\"#Use_Tables_to_Compare_Ratios_\u2013_Page_No._231\">Use Tables to Compare Ratios \u2013 Page No. 231<\/a><\/li>\n<li><a href=\"#Use_Tables_to_Compare_Ratios_\u2013_Page_No._232\">Use Tables to Compare Ratios \u2013 Page No. 232<\/a><\/li>\n<li><a href=\"#Use_Tables_to_Compare_Ratios_\u2013_Page_No._233\">Use Tables to Compare Ratios \u2013 Page No. 233<\/a><\/li>\n<li><a href=\"#Use_Tables_to_Compare_Ratios_Lesson_Check_\u2013_Page_No._234\">Use Tables to Compare Ratios Lesson Check \u2013 Page No. 234<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Algebra \u2022 Use Equivalent Ratios<\/strong><\/p>\n<ul>\n<li><a href=\"#Use_Equivalent_Ratios_\u2013_Page_No._237\">Use Equivalent Ratios \u2013 Page No. 237<\/a><\/li>\n<li><a href=\"#Use_Equivalent_Ratios_\u2013_Page_No._238\">Use Equivalent Ratios \u2013 Page No. 238<\/a><\/li>\n<li><a href=\"#Use_Equivalent_Ratios_\u2013_Page_No._239\">Use Equivalent Ratios \u2013 Page No. 239<\/a><\/li>\n<li><a href=\"#Use_Equivalent_Ratios_Lesson_Check_\u2013_Page_No._240\">Use Equivalent Ratios Lesson Check \u2013 Page No. 240<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_\u2013_Page_No._241\">Mid-Chapter Checkpoint \u2013 Page No. 241<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_\u2013_Page_No._242\">Mid-Chapter Checkpoint \u2013 Page No. 242<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Find Unit Rates<\/strong><\/p>\n<ul>\n<li><a href=\"#Find_Unit_Rates_\u2013_Page_No._245\">Find Unit Rates \u2013 Page No. 245<\/a><\/li>\n<li><a href=\"#Find_Unit_Rates_\u2013_Page_No._246\">Find Unit Rates \u2013 Page No. 246<\/a><\/li>\n<li><a href=\"#Find_Unit_Rates_\u2013_Page_No._247\">Find Unit Rates \u2013 Page No. 247<\/a><\/li>\n<li><a href=\"#Find_Unit_Rates_Lesson_Check_\u2013_Page_No._248\">Find Unit Rates Lesson Check \u2013 Page No. 248<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Algebra \u2022 Use Unit Rates<\/strong><\/p>\n<ul>\n<li><a href=\"#Use_Unit_Rates_\u2013_Page_No._251\">Use Unit Rates \u2013 Page No. 251<\/a><\/li>\n<li><a href=\"#Use_Unit_Rates_\u2013_Page_No._252\">Use Unit Rates \u2013 Page No. 252<\/a><\/li>\n<li><a href=\"#Use_Unit_Rates_\u2013_Page_No._253\">Use Unit Rates \u2013 Page No. 253<\/a><\/li>\n<li><a href=\"#Use_Unit_Rates_Lesson_Check_\u2013_Page_No._254\">Use Unit Rates Lesson Check \u2013 Page No. 254<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8: Algebra \u2022 Equivalent Ratios and Graphs<\/strong><\/p>\n<ul>\n<li><a href=\"#Equivalent_Ratios_and_Graphs_\u2013_Page_No._257\">Equivalent Ratios and Graphs \u2013 Page No. 257<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Graphs_\u2013_Page_No._258\">Equivalent Ratios and Graphs \u2013 Page No. 258<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Graphs_\u2013_Page_No._259\">Equivalent Ratios and Graphs \u2013 Page No. 259<\/a><\/li>\n<li><a href=\"#Equivalent_Ratios_and_Graphs_Lesson_Check_\u2013_Page_No._260\">Equivalent Ratios and Graphs Lesson Check \u2013 Page No. 260<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 4 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Review\/Test_\u2013_Page_No._261\">Review\/Test \u2013 Page No. 261<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._262\">Review\/Test \u2013 Page No. 262<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._263\">Review\/Test \u2013 Page No. 263<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._264\">Review\/Test \u2013 Page No. 264<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._265\">Review\/Test \u2013 Page No. 265<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._266\">Review\/Test \u2013 Page No. 266<\/a><\/li>\n<\/ul>\n<h3><a id=\"Model_Ratios_\u2013_Page_No._213\"><\/a>Share and Show &#8211; Page No. 213<\/h3>\n<p><strong>Write the ratio of yellow counters to red counters.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4943\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-1.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 1\" width=\"125\" height=\"121\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1: 2<\/p>\n<p>Explanation:<br \/>\nThere are one yellow counter and two red counters.<br \/>\nSo, the ratio is 1:2<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4944\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-2.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 2\" width=\"337\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-2.jpg 337w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-2-300x118.jpg 300w\" sizes=\"(max-width: 337px) 100vw, 337px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5: 3<\/p>\n<p>Explanation:<br \/>\nThere are 5 yellow counter and 3 red counters.<br \/>\nSo, the ratio is 5:3<\/p>\n<p><strong>Draw a model of the ratio.<\/strong><\/p>\n<p>Question 3.<br \/>\n3 : 2<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-1.jpg\" alt=\"Grade 6 Chapter 4 image 1\" width=\"219\" height=\"154\" \/><\/p>\n<p>Explanation:<br \/>\nAs the ratio is 3:2, we can draw three yellow counters and 2 red counters.<\/p>\n<p>Question 4.<br \/>\n1 : 5<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-2-300x134.jpg\" alt=\"Grade 6 Chapter 4 image 2\" width=\"300\" height=\"134\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-2-300x134.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-2.jpg 446w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nAs the ratio is 1:5, we can draw 1 yellow counter and 5 red counters.<\/p>\n<p><strong>Use the ratio to complete the table.<\/strong><\/p>\n<p>Question 5.<br \/>\nWen is arranging flowers in vases. For every 1 rose she uses, she uses 6 tulips. Complete the table to show the ratio of roses to tulips.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4945\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-3.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 3\" width=\"364\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-3.jpg 364w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-3-300x82.jpg 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7378\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-3-300x92.jpg\" alt=\"Grade 6 Chapter 4 image 3\" width=\"300\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-3-300x92.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-3-768x237.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-3.jpg 815w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThere is 1 box for every 6 Tulips.<br \/>\nThe ratio is 1 : 6.<br \/>\nEach time the number of boxes increases by 1, the number of Tulips increases by 6<br \/>\nSo, for 2 boxes, 6 + 6 = 12 Tulips<br \/>\nFor 3 boxes, 12 + 6 = 18 Tulips<br \/>\nFor 4 boxes, 18 + 6 = 24 Tulips<\/p>\n<p>Question 6.<br \/>\nOn the sixth-grade field trip, there are 8 students for every 1 adult. Complete the table to show the ratio of students to adults.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4946\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-4.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 4\" width=\"362\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-4.jpg 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-4-300x82.jpg 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7379\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-4-300x92.jpg\" alt=\"Grade 6 Chapter 4 image 4\" width=\"300\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-4-300x92.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-4-768x237.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-4.jpg 853w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThere is 1 adult out of 8 Students.<br \/>\nThe ratio is 8:1.<br \/>\nEach time the number of students increases double, the number of adults becomes double.<br \/>\nSo, for 8 + 8 = 16 students, 2 Adults available<br \/>\nFor 16 + 8 = 24 students, 2 + 1 = 3 Adults available<br \/>\nFor 24 + 8 = 32 students, 3 + 1 = 4 Adults available<\/p>\n<p>Question 7.<br \/>\nZena adds 4 cups of flour for every 3 cups of sugar in her recipe. Draw a model that compares cups of flour to cups of sugar.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-7382\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-5-300x89.jpg\" alt=\"Grade 6 Chapter 4 image 5\" width=\"374\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-5-300x89.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-5-768x228.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-5.jpg 859w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><\/p>\n<p>Explanation:<br \/>\nZena adds 4 cups of flour for every 3 cups of sugar in her recipe.<br \/>\nFor every 3 cups of sugar, she adds 4 cups of flour.<br \/>\nFor 6 cups of sugar, she adds 8 cups of flour<br \/>\nFor 9 cups of sugar, she adds 12 cups of flour<br \/>\nFor 12 cups of sugar, she adds 16 cups of flour<\/p>\n<h3><a id=\"Model_Ratios_\u2013_Page_No._214\"><\/a>Draw Conclusions &#8211; Page No. 214<\/h3>\n<p><strong>The reading skill draw conclusions can help you analyze and make sense of information.<\/strong><\/p>\n<p>Hikers take trail mix as a snack on long hikes because it is tasty, nutritious, and easy to carry. There are many different recipes for trail mix, but it is usually made from different combinations of dried fruit, raisins, seeds, and nuts. Tanner and his dad make trail mix that has 1 cup of raisins for every 3 cups of sunflower seeds.<\/p>\n<p>Question 8.<br \/>\nModel Mathematics Explain how you could model the ratio that compares cups of raisins to cups of sunflower seeds when Tanner uses 2 cups of raisins.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7385\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-6-300x130.jpg\" alt=\"Grade 6 Chapter 4 image 6\" width=\"300\" height=\"130\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-6-300x130.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-6.jpg 699w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nHikers take trail mix as a snack on long hikes because it is tasty, nutritious, and easy to carry. There are many different recipes for trail mix, but it is usually made from different combinations of dried fruit, raisins, seeds, and nuts. Tanner and his dad make trail mix that has 1 cup of raisins for every 3 cups of sunflower seeds.<br \/>\nFor 2 cups of raisins, he needs 3 + 3 = 6 cups of sunflower seeds<\/p>\n<p><strong>The table shows the ratio of cups of raisins to cups of sunflower seeds for different amounts of trail mix. Model each ratio as you complete the table.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4947\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-5.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 5\" width=\"433\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-5.jpg 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-5-300x92.jpg 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4948\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-6.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 6\" width=\"433\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-6.jpg 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-6-300x92.jpg 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/p>\n<p>Question 9.<br \/>\nDescribe the pattern you see in the table.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nMultiply Raisins by 3 to get number of Sunflower Seeds.<\/p>\n<p>Question 10.<br \/>\nDraw Conclusions What conclusion can Tanner draw from this pattern?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nHe needs 3 times as many seeds as raisins<\/p>\n<p>Question 11.<br \/>\nWhat is the ratio of cups of sunflower seeds to cups of trail mix when Tanner uses 4 cups of raisins?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4:12<\/p>\n<p>Explanation:<br \/>\nIf tanner uses 4 cups of raisins, he needs 12 cups of sunflower seeds.<\/p>\n<h3><a id=\"Model_Ratios_\u2013_Page_No._215\"><\/a>Model Ratios &#8211; Page No. 215<\/h3>\n<p><strong>Write the ratio of gray counters to white counters.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4949\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-7.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 7\" width=\"250\" height=\"125\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3:4<\/p>\n<p>Explanation:<br \/>\nThere are 3 gray counter and 4 white counters.<br \/>\nSo, the ratio is 3:4<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4950\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-8.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 8\" width=\"190\" height=\"128\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4:1<\/p>\n<p>Explanation:<br \/>\nThere are 4 gray counter and 1 white counter.<br \/>\nSo, the ratio is 4:1<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4951\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-9.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 9\" width=\"191\" height=\"122\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2:3<\/p>\n<p>Explanation:<br \/>\nThere are 2 gray counter and 3 white counters.<br \/>\nSo, the ratio is 2:3<\/p>\n<p><strong>Draw a model of the ratio.<\/strong><\/p>\n<p>Question 4.<br \/>\n5 : 1<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7-300x122.jpg\" alt=\"Grade 6 Chapter 4 image 7\" width=\"300\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7-300x122.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7.jpg 466w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nAs the ratio is 5:1, we can draw 5 yellow counters and 1 red counter.<\/p>\n<p>Question 5.<br \/>\n6 : 3<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7387\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-8-300x115.jpg\" alt=\"Grade 6 Chapter 4 image 8\" width=\"300\" height=\"115\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-8-300x115.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-8.jpg 541w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nAs the ratio is 6:3, we can draw 6 yellow counters and 3 red counters.<\/p>\n<p><strong>Use the ratio to complete the table.<\/strong><\/p>\n<p>Question 6.<br \/>\nMarc is assembling gift bags. For every 2 pencils he places in the bag, he uses 3 stickers. Complete the table to show the ratio of pencils to stickers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4952\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-10.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 10\" width=\"419\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-10.jpg 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-10-300x49.jpg 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7388\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-9-300x65.jpg\" alt=\"Grade 6 Chapter 4 image 9\" width=\"300\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-9-300x65.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-9.jpg 358w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nMarc is assembling gift bags. For every 2 pencils he places in the bag, he uses 3 stickers.<br \/>\nFor 4 pencils, he uses 3 + 3 = 6 stickers<br \/>\nFor 6 pencils, he uses 6 + 3 = 9 stickers<br \/>\nFor 8 pencils, he uses 9 + 3 = 12 stickers<\/p>\n<p>Question 7.<br \/>\nSingh is making a bracelet. She uses 5 blue beads for every 1 silver bead. Complete the table to show the ratio of blue beads to silver beads<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4953\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-11.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 11\" width=\"418\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-11.jpg 418w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-11-300x52.jpg 300w\" sizes=\"(max-width: 418px) 100vw, 418px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7389\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-10-300x68.jpg\" alt=\"Grade 6 Chapter 4 image 10\" width=\"300\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-10-300x68.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-10.jpg 353w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nSingh is making a bracelet. She uses 5 blue beads for every 1 silver bead.<br \/>\nFor 2 silver bead, she uses 5 + 5 = 10 blue beads.<br \/>\nFor 3 silver bead, she uses 10 + 5 = 15 blue beads.<br \/>\nFor 4 silver bead, she uses 15 + 5 = 20 blue beads.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 8.<br \/>\nThere are 4 quarts in 1 gallon. How many quarts are in 3 gallons?<br \/>\n______ quarts<\/p>\n<p>Answer:<br \/>\n12 quarts<\/p>\n<p>Explanation:<br \/>\nThere are 4 quarts in 1 gallon. If there are 3 gallons, he uses 3 \u00d7 4 = 12 quarts<\/p>\n<p>Question 9.<br \/>\nMartin mixes 1 cup lemonade with 4 cups cranberry juice to make his favorite drink. How much cranberry juice does he need if he uses 5 cups of lemonade?<br \/>\n______ cups<\/p>\n<p>Answer:<br \/>\n20 cups<\/p>\n<p>Explanation:<br \/>\nMartin mixes 1 cup lemonade with 4 cups cranberry juice to make his favorite drink. If he uses 5 cups of lemonade, 5 \u00d7 4 = 20 cups<\/p>\n<p>Question 10.<br \/>\nSuppose there was 1 centerpiece for every 5 tables. Use counters to show the ratio of centerpieces to tables. Then make a table to find the number of tables if there are 3 centerpieces.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7-300x122.jpg\" alt=\"Grade 6 Chapter 4 image 7\" width=\"300\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7-300x122.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-7.jpg 466w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7391\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-11-300x128.jpg\" alt=\"Grade 6 Chapter 4 image 11\" width=\"300\" height=\"128\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-11-300x128.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-11.jpg 531w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nSuppose there was 1 centerpiece for every 5 tables.<br \/>\nIf there are 3 centerpieces, 5 \u00d7 3 = 15 tables<\/p>\n<h3><a id=\"Model_Ratios_Lesson_Check_\u2013_Page_No._216\"><\/a>Lesson Check &#8211; Page No. 216<\/h3>\n<p>Question 1.<br \/>\nFrancine is making a necklace that has 1 blue bead for every 6 white beads. How many white beads will she use if she uses 11 blue beads?<br \/>\n______ white beads<\/p>\n<p>Answer:<br \/>\n66 white beads<\/p>\n<p>Explanation:<br \/>\nFrancine is making a necklace that has 1 blue bead for every 6 white beads.<br \/>\n11 \u00d7 6 = 66 white beads<\/p>\n<p>Question 2.<br \/>\nA basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?<br \/>\n______ players<\/p>\n<p>Answer:<br \/>\n192 players<\/p>\n<p>Explanation:<br \/>\nA basketball league assigns 8 players to each team.<br \/>\nIf there are 24 teams, 24 \u00d7 8 = 192 players to\u00a0each team<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nLouis has 45 pencils and 75 pens to divide into gift bags at the fair. He does not want to mix the pens and pencils. He wants to place an equal amount in each bag. What is the greatest number of pens or pencils he can place in each bag?<br \/>\n______<\/p>\n<p>Answer:<br \/>\nLouis can form at most 15 bags, each of them will contain 3 pencils and 5 pens.<\/p>\n<p>Explanation:<br \/>\nLouis has 45 pencils and 75 pens to divide into gift bags at the fair. He does not want to mix the pens and pencils. He wants to place an equal amount in each bag.<br \/>\nFactor both these numbers:<br \/>\n45 = 3\u00b73\u00b75;<br \/>\n75 = 3\u00b75\u00b75.<br \/>\nThe greatest common factor (write all common factors and multiply them) is 3\u00b75=15. Then:<br \/>\n45=15\u00b73;<br \/>\n75=15\u00b75.<br \/>\nLouis can form at most 15 bags, each of them will contain 3 pencils and 5 pens.<\/p>\n<p>Question 4.<br \/>\nOf the 24 students in Greg\u2019s class, \\(\\frac{3}{8}\\) ride the bus to school. How many students ride the bus?<br \/>\n______ students<\/p>\n<p>Answer:<br \/>\n9 students<\/p>\n<p>Explanation:<br \/>\nOf the 24 students in Greg\u2019s class, \\(\\frac{3}{8}\\) ride the bus to school.<br \/>\n3\/8 x 24= 9<\/p>\n<p>Question 5.<br \/>\nElisa made 0.44 of the free throws she attempted. What is that amount written as a fraction in simplest form?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{11}{25}\\)<\/p>\n<p>Explanation:<br \/>\nElisa made 0.44 of the free throws she attempted.<br \/>\n0.44 = 44\/100<br \/>\n44\/100 = 22\/50 = 11\/25<br \/>\n11\/25<\/p>\n<p>Question 6.<br \/>\nOn a coordinate plane, the vertices of a rectangle are (\u20131, 1), (3, 1), (\u20131, \u20134), and (3, \u20134). What is the perimeter of the rectangle?<br \/>\n______ units<\/p>\n<p>Answer:<br \/>\n18 units<\/p>\n<p>Explanation:<br \/>\nOn a coordinate plane, the vertices of a rectangle are (\u20131, 1), (3, 1), (\u20131, \u20134), and (3, \u20134).<br \/>\n|-1| = 1<br \/>\nThe distance from (\u20131, 1), (3, 1) is 1 + 0 + 0 + 3 = 4<br \/>\n|-4| = 4<br \/>\nThe distance from (3, 1), (3, \u20134) is 1 + 0 + 0 + 4 = 5<br \/>\nperimeter of the rectangle = 4 + 5 + 5 + 4 = 18<\/p>\n<h3><a id=\"Ratios_and_Rates_\u2013_Page_No._219\"><\/a>Share and Show &#8211; Page No. 219<\/h3>\n<p>Question 1.<br \/>\nWrite the ratio of the number of red bars to blue stars.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4954\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-12.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 12\" width=\"259\" height=\"155\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{3}\\)<\/p>\n<p>Explanation:<br \/>\nThere are 8 stars and 3 red boxes.<br \/>\nSo, the ratio is 8:3<\/p>\n<p><strong>Write the ratio in two different ways.<\/strong><\/p>\n<p>Question 2.<br \/>\n8 to 16<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{16}\\)<br \/>\n8:16<\/p>\n<p>Explanation:<br \/>\n8 to 16 as a fraction 8\/16<br \/>\n8 to 16 with a colon 8:16<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{4}{24}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4 to 24<br \/>\n4:24<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{24}\\) using words 4 to 24<br \/>\n\\(\\frac{4}{24}\\) with a colon 4:24<\/p>\n<p>Question 4.<br \/>\n1 : 3<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1 to 3<br \/>\n\\(\\frac{1}{3}\\)<\/p>\n<p>Explanation:<br \/>\n1 : 3 using words 1 to 3<br \/>\n1 : 3 as a fraction 1\/3<\/p>\n<p>Question 5.<br \/>\n7 to 9<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{9}\\)<br \/>\n7:9<\/p>\n<p>Explanation:<br \/>\n7 to 9 as a fraction 7\/9<br \/>\n7 to 9 with a colon 7:9<\/p>\n<p>Question 6.<br \/>\nMarilyn saves $15 per week. Complete the table to find the rate that gives the amount saved in 4 weeks. Write the rate in three different ways.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4955\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-13.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 13\" width=\"487\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-13.jpg 487w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-13-300x62.jpg 300w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7397\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-15-300x71.jpg\" alt=\"Grade 6 Chapter 4 image 15\" width=\"300\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-15-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-15.jpg 659w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nMarilyn saves $15 per week.<br \/>\nfor 4 weeks, $15 \u00d7 4 = $60<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write the ratio in two different ways.<\/strong><\/p>\n<p>Question 7.<br \/>\n\\(\\frac{16}{40}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n16 to 40<br \/>\n16:40<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{16}{40}\\) using words 16 to 40<br \/>\n\\(\\frac{16}{40}\\) with a colon 16:40<\/p>\n<p>Question 8.<br \/>\n8 : 12<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n8 to 12<br \/>\n\\(\\frac{8}{12}\\)<\/p>\n<p>Explanation:<br \/>\n8 : 12 using words 8 to 12<br \/>\n8 : 12 as a fraction \\(\\frac{8}{12}\\)<\/p>\n<p>Question 9.<br \/>\n4 to 11<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{11}\\)<br \/>\n4:11<\/p>\n<p>Explanation:<br \/>\n4 to 11 as a fraction \\(\\frac{4}{11}\\)<br \/>\n4 to 11 with a colon 4:11<\/p>\n<p>Question 10.<br \/>\n2 : 13<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2 to 13<br \/>\n\\(\\frac{2}{13}\\)<\/p>\n<p>Explanation:<br \/>\n2 : 13 using words 2 to 13<br \/>\n2 : 13 as a fraction \\(\\frac{2}{13}\\)<\/p>\n<p>Question 11.<br \/>\nThere are 24 baseball cards in 4 packs. Complete the table to find the rate that gives the number of cards in 2 packs. Write this rate in three different ways.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4956\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-14.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 14\" width=\"410\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-14.jpg 410w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-14-300x73.jpg 300w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7399\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-16-300x83.jpg\" alt=\"Grade 6 Chapter 4 image 16\" width=\"300\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-16-300x83.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-16.jpg 682w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThere are 24 baseball cards in 4 packs.<br \/>\nFor 2 packs, (2 \u00d7 24)\/4 = 12<br \/>\nFor 1 pack, (1\u00d7 24)\/4 = 6<\/p>\n<p>Question 12.<br \/>\nMake Connections Explain how the statement \u201cThere is \\(\\frac{3}{4}\\) cup per serving\u201d represents a rate.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThere is a 3\/4 cup of whatever in one serving. If that serving amount changed to 2, then the 3\/4 would be multiplied by 2. If there is half a serving, then it would be divided by 2. There is a constant change and not one that is always changing.<\/p>\n<h3><a id=\"Ratios_and_Rates_\u2013_Page_No._220\"><\/a>Problem Solving + Applications &#8211; Page No. 220<\/h3>\n<p><strong>Use the diagram of a birdhouse for 13\u201315.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4957\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-15.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 15\" width=\"256\" height=\"332\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-15.jpg 256w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-15-231x300.jpg 231w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/p>\n<p>Question 13.<br \/>\nWrite the ratio of AB to BC in three different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n28 : 12, 28 to 12, \\(\\frac{2}{13}\\)<\/p>\n<p>Explanation:<br \/>\nAB = 28 in<br \/>\nBC = 12 in<br \/>\nAB : BC = 28 : 12, 28 to 12, \\(\\frac{2}{13}\\)<\/p>\n<p>Question 14.<br \/>\nWrite the ratio of the shortest side length of triangle ABC to the perimeter of the triangle in three different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n12 : 64, 12 to 64, \\(\\frac{12}{64}\\)<\/p>\n<p>Explanation:<br \/>\nthe shortest side length of triangle ABC = 12 in<br \/>\nthe perimeter of the triangle 12 + 28 + 24 = 64<br \/>\n12 : 64, 12 to 64, \\(\\frac{12}{64}\\)<\/p>\n<p>Question 15.<br \/>\nRepresent a Problem Write the ratio of the perimeter of triangle ABC to the longest side length of the triangle in three different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n64 : 28, 64 to 28, \\(\\frac{64}{28}\\)<\/p>\n<p>Explanation:<br \/>\nthe ratio of the perimeter of triangle ABC = 12 + 28 + 24 = 64<br \/>\nthe longest side length of the triangle = 28 in<br \/>\n64 : 28, 64 to 28, \\(\\frac{64}{28}\\)<\/p>\n<p>Question 16.<br \/>\nLeandra places 6 photos on each page in a photo album. Find the rate that gives the number of photos on 2 pages. Write the rate in three different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n6 : 12, 6 to 12, \\(\\frac{6}{12}\\)<\/p>\n<p>Explanation:<br \/>\nLeandra places 6 photos on each page in a photo album.<br \/>\nFor 2 pages, 6 \u00d7 2 = 12 in<br \/>\n6 : 12, 6 to 12, \\(\\frac{6}{12}\\)<\/p>\n<p>Question 17.<br \/>\nWhat\u2019s the Question? The ratio of total students in Ms. Murray\u2019s class to students in the class who have an older brother is 3 to 1. The answer is 1:2. What is the question?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWhat is the ratio of students in the class who don&#8217;t have an older brother to students in the class with an older brother.<\/p>\n<p>Question 18.<br \/>\nWhat do all unit rates have in common?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nA rate is a ratio that is used to compare different kinds of quantities. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.<\/p>\n<p>Question 19.<br \/>\nJulia has 2 green reusable shopping bags and 5 purple reusable shopping bags. Select the ratios that compare the number of purple reusable shopping bags to the total number of reusable shopping bags. Mark all that apply.<\/p>\n<ul>\n<li>5 to 7<\/li>\n<li>5 : 7<\/li>\n<li>5 : 2<\/li>\n<li>\\(\\frac{2}{5}\\)<\/li>\n<li>2 to 7<\/li>\n<li>\\(\\frac{5}{7}\\)<\/li>\n<\/ul>\n<p>Type below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5 to 7, 5 : 7, \\(\\frac{5}{7}\\)<\/p>\n<p>Explanation:<br \/>\nthe number of purple reusable shopping bags = 5<br \/>\nthe total number of reusable shopping bags = 5 + 2 = 7<br \/>\n5 to 7, 5 : 7, \\(\\frac{5}{7}\\)<\/p>\n<h3><a id=\"Ratios_and_Rates_\u2013_Page_No._221\"><\/a>Ratios and Rates &#8211; Page No. 221<\/h3>\n<p><strong>Write the ratio in two different ways.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{4}{5}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4 to 5<br \/>\n4 : 5<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{5}\\) using words 4 to 5<br \/>\n\\(\\frac{4}{5}\\) with a colon 4 : 5<\/p>\n<p>Question 2.<br \/>\n16 to 3<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{16}{3}\\)<br \/>\n16 : 3<\/p>\n<p>Explanation:<br \/>\n16 to 3 as a fraction \\(\\frac{16}{3}\\)<br \/>\n16 to 3 with a colon 16 : 3<\/p>\n<p>Question 3.<br \/>\n9 : 13<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n9 to 13<br \/>\n\\(\\frac{9}{13}\\)<\/p>\n<p>Explanation:<br \/>\n9 : 13 using words 9 to 13<br \/>\n9 : 13 as a fraction \\(\\frac{9}{13}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{15}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n15 to 8<br \/>\n15 : 8<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{15}{8}\\) using words 15 to 8<br \/>\n\\(\\frac{15}{8}\\) with a colon 15 : 8<\/p>\n<p>Question 5.<br \/>\nThere are 20 light bulbs in 5 packages. Complete the table to find the rate that gives the number of light bulbs in 3 packages. Write this rate in three different ways.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4959\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-16.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 16\" width=\"422\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-16.jpg 422w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-16-300x55.jpg 300w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-12-300x70.jpg\" alt=\"Grade 6 Chapter 4 image 12\" width=\"300\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-12-300x70.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-12.jpg 356w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThere are 20 light bulbs in 5 packages.<br \/>\nFor 1 package, 4 light bulbs available<br \/>\nFor 2 package, 8 light bulbs available<br \/>\nFor 3 package, 12 light bulbs available<br \/>\nFor 4 package, 16 light bulbs available<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\nGemma spends 4 hours each week playing soccer and 3 hours each week practicing her clarinet. Write the ratio of hours spent practicing clarinet to hours spent playing soccer three different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{4}\\), 3 : 4, 3 to 4<\/p>\n<p>Explanation:<br \/>\nGemma spends 4 hours each week playing soccer and 3 hours each week practicing her clarinet.<br \/>\n3\/4, 3 : 4, 3 to 4<\/p>\n<p>Question 7.<br \/>\nRandall bought 2 game controllers at Electronics Plus for $36. What is the unit rate for a game controller at Electronics Plus?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{$18}{1}\\)<\/p>\n<p>Explanation:<br \/>\nRandall bought 2 game controllers at Electronics Plus for $36. $36\/2 = $18\/1 is the unit rate for a game controller at Electronics Plus<\/p>\n<p>Question 8.<br \/>\nExplain how to determine if a given rate is also a unit rate.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nwhen rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 student for every 3 buses, an want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term<\/p>\n<h3><a id=\"Ratios_and_Rates_Lesson_Check_\u2013_Page_No._222\"><\/a>Lesson Check &#8211; Page No. 222<\/h3>\n<p>Question 1.<br \/>\nAt the grocery store, Luis bought 10 bananas and 4 apples. What are three different ways to write the ratio of apples to bananas?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4 : 10, 4 to 10, \\(\\frac{4}{10}\\)<\/p>\n<p>Explanation:<br \/>\nAt the grocery store, Luis bought 10 bananas and 4 apples. 4\/10, 4 : 10, 4 to 10<\/p>\n<p>Question 2.<br \/>\nRita checked out 7 books from the library. She had 2 non-fiction books. The rest were fiction. What are three different ways to write the ratio of non-fiction to fiction?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2 to 5, 2 : 5, \\(\\frac{2}{5}\\)<\/p>\n<p>Explanation:<br \/>\nRita checked out 7 books from the library. She had 2 non-fiction books. The rest were fiction.<br \/>\nfiction = 5<br \/>\n2 to 5, 2 : 5, \\(\\frac{2}{5}\\)<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nMcKenzie bought 1.2 pounds of coffee for $11.82. What was the cost per pound?<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$9.85<\/p>\n<p>Explanation:<br \/>\nMcKenzie bought 1.2 pounds of coffee for $11.82. $11.82\/1.2 = $9.85<\/p>\n<p>Question 4.<br \/>\nPedro has a bag of flour that weighs \\(\\frac{9}{10}\\) pound. He uses \\(\\frac{2}{3}\\) of the bag to make gravy. How many pounds of flour does Pedro use to make gravy?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) pound<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{5}\\) pound<\/p>\n<p>Explanation:<br \/>\nPedro has a bag of flour that weighs \\(\\frac{9}{10}\\) pound. He uses \\(\\frac{2}{3}\\) of the bag to make gravy.<br \/>\n\\(\\frac{9}{10}\\) \u00d7 \\(\\frac{2}{3}\\) = 3\/5<\/p>\n<p>Question 5.<br \/>\nGina draws a map of her town on a coordinate plane. The point that represents the town\u2019s civic center is 1 unit to the right of the origin and 4 units above it. What are the coordinates of the point representing the civic center?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(-1, 4)<\/p>\n<p>Explanation:<br \/>\nGina draws a map of her town on a coordinate plane. The point that represents the town\u2019s civic center is 1 unit to the right of the origin and 4 units above it.<br \/>\n(-1, 4)<\/p>\n<p>Question 6.<br \/>\nStefan draws these shapes. What is the ratio of triangles to stars?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4960\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-17.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 17\" width=\"277\" height=\"133\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2 to 5<\/p>\n<p>Explanation:<br \/>\nThere are 2 triangles and 5 stars. So, the ratio is 2 : 5<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._225\"><\/a>Share and Show &#8211; Page No. 225<\/h3>\n<p><strong>Write two equivalent ratios.<\/strong><\/p>\n<p>Question 1.<br \/>\nUse a multiplication table to write two ratios that are equivalent to \\(\\frac{4}{7}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{7}\\) = \\(\\frac{8}{14}\\), \\(\\frac{12}{21}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 4\/7. Shade the row for 4 and the row for 7 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 4, when there are 2 \u2219 7. So, 4\/7 equal to 8\/14<br \/>\nThe column for 3 shows there are 3 \u2219 4, when there are 3 \u2219 7. So, 4\/7 equal to 12\/21<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4961\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-18.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 18\" width=\"225\" height=\"88\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-18.jpg\" alt=\"Grade 6 Chapter 4 image 18\" width=\"273\" height=\"122\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 3\/7. Shade the row for 3 and the row for 7 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 3, when there are 2 \u2219 7. So, 3\/7 equal to 6\/14<br \/>\nThe column for 3 shows there are 3 \u2219 3, when there are 3 \u2219 7. So, 3\/7 equal to 9\/21<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4962\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-19.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 19\" width=\"228\" height=\"89\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-19-300x123.jpg\" alt=\"Grade 6 Chapter 4 image 19\" width=\"300\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-19-300x123.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-19.jpg 352w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 5\/2. Shade the row for 5 and the row for 2 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 5 when there are 2 \u2219 2. So, 5\/2 equal to 10\/4<br \/>\nThe column for 3 shows there are 3 \u2219 5 when there are 3 \u2219 2. So, 5\/2 equal to 15\/6<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4963\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-20.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 20\" width=\"219\" height=\"86\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-20-300x133.jpg\" alt=\"Grade 6 Chapter 4 image 20\" width=\"300\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-20-300x133.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-20.jpg 326w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 2\/10. Shade the row for 2 and the row for 10 on the multiplication table.<br \/>\nThe column for 1 shows there are 1 \u2219 2 when there are 5 \u2219 2. So, 2\/10 equal to 1\/5<br \/>\nThe column for 3 shows there are 1 \u2219 3 when there are 5 \u2219 3. So, 2\/10 equal to 3\/15<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{4}{5}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{5}\\) = \\(\\frac{8}{10}\\), \\(\\frac{12}{15}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 4\/5. Shade the row for 4 and the row for 5 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 4, when there are 2 \u2219 5. So, 4\/5 equal to 8\/10<br \/>\nThe column for 3 shows there are 3 \u2219 4, when there are 3 \u2219 5. So, 4\/5 equal to 12\/15<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{12}{30}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{12}{30}\\) = \\(\\frac{24}{60}\\), \\(\\frac{36}{90}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 12\/30. Shade the row for 12 and the row for 30 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 12 when there are 2 \u2219 30. So, 12\/30 equal to 24\/60<br \/>\nThe column for 3 shows there are 3 \u2219 12 when there are 3 \u2219 30. So, 12\/30 equal to 36\/90<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{9}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{9}\\) = \\(\\frac{4}{18}\\), \\(\\frac{6}{27}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 2\/9. Shade the row for 2 and the row for 9 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 2, when there are 2 \u2219 9. So, 2\/9 equal to 4\/18<br \/>\nThe column for 3 shows there are 3 \u2219 2, when there are 3 \u2219 9. So, 2\/9 equal to 6\/27<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write two equivalent ratios.<\/strong><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4964\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-21.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 21\" width=\"223\" height=\"87\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-21-300x131.jpg\" alt=\"Grade 6 Chapter 4 image 21\" width=\"300\" height=\"131\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-21-300x131.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-21.jpg 305w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 9\/8. Shade the row for 9 and the row for 8 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 9 when there are 2 \u2219 8. So, 9\/8 equal to 18\/16<br \/>\nThe column for 3 shows there are 3 \u2219 9 when there are 3 \u2219 8. So, 9\/8 equal to 27\/24<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4965\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-22.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 22\" width=\"227\" height=\"88\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-22-300x128.jpg\" alt=\"Grade 6 Chapter 4 image 22\" width=\"300\" height=\"128\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-22-300x128.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-22.jpg 393w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 5\/4. Shade the row for 5 and the row for 4 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 5 when there are 2 \u2219 4. So, 5\/4 equal to 10\/8<br \/>\nThe column for 3 shows there are 3 \u2219 5 when there are 3 \u2219 4. So, 5\/4 equal to 15\/20<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-23.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 23\" width=\"220\" height=\"89\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-23-300x131.jpg\" alt=\"Grade 6 Chapter 4 image 23\" width=\"300\" height=\"131\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-23-300x131.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-23.jpg 379w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 6\/9. Shade the row for 6 and the row for 9 on the multiplication table.<br \/>\nThe column for 1 shows there are 1 \u2219 3 when there are 1. 4.5. So, 5\/4 equal to 3\/4.5<br \/>\nThe column for 3 shows there are 3 \u2219 3 when there are 3 \u2219 4.5. So, 5\/4 equal to 9\/13.5<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{8}{7}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{7}\\) = \\(\\frac{16}{14}\\), \\(\\frac{24}{21}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 8\/7. Shade the row for 8 and the row for 7 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 8, when there are 2 \u2219 7. So, 8\/7 equal to 16\/14<br \/>\nThe column for 3 shows there are 3 \u2219 8, when there are 3 \u2219 7. So, 8\/7 equal to 24\/21<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{2}{6}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{6}\\) = \\(\\frac{4}{12}\\), \\(\\frac{6}{18}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 2\/6. Shade the row for 2 and the row for 6 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 2, when there are 2 \u2219 6. So, 2\/6 equal to 4\/12<br \/>\nThe column for 3 shows there are 3 \u2219 2, when there are 3 \u2219 6. So, 2\/6 equal to 6\/18<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{4}{11}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{11}\\) = \\(\\frac{8}{22}\\), \\(\\frac{12}{33}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 4\/11. Shade the row for 4 and the row for 11 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 4, when there are 2 \u2219 11. So, 4\/11 equal to 8\/22<br \/>\nThe column for 3 shows there are 3 \u2219 4, when there are 3 \u2219 11. So, 4\/11 equal to 12\/33<\/p>\n<p><strong>Determine whether the ratios are equivalent.<\/strong><\/p>\n<p>Question 14.<br \/>\n\\(\\frac{2}{3} \\text { and } \\frac{8}{12}\\)<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nYes<\/p>\n<p>Explanation:<br \/>\n2\/3 \u00d7 4\/4 = 8\/12<br \/>\nSo, 2\/3 is equal to 8\/12<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{8}{10} \\text { and } \\frac{6}{10}\\)<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\n8\/10 \u00f7 2\/2 = 4\/5<br \/>\n8\/10 is not equal to 6\/10<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{16}{60} \\text { and } \\frac{4}{15}\\)<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nyes<\/p>\n<p>Explanation:<br \/>\n16\/60 \u00f7 4\/4 = 4\/15<br \/>\n16\/60 is equal to 4\/15<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{3}{14} \\text { and } \\frac{8}{28}\\)<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\n3\/14 is not equal to 8\/28<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._226\"><\/a>Problem Solving + Applications &#8211; Page No. 226<\/h3>\n<p><strong>Use the multiplication table for 18 and 19.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4967\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-24.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 24\" width=\"306\" height=\"309\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-24.jpg 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-24-297x300.jpg 297w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-24-150x150.jpg 150w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><\/p>\n<p>Question 18.<br \/>\nIn Keith\u2019s baseball games this year, the ratio of times he has gotten on base to the times he has been at bat is \\(\\frac{4}{14}\\). Write two ratios that are equivalent to \\(\\frac{4}{14}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{14}\\) = \\(\\frac{8}{28}\\), \\(\\frac{2}{7}\\)<\/p>\n<p>Explanation:<br \/>\n4\/14<br \/>\nmultiply both numbers by 2<br \/>\n8\/28<br \/>\ndivide both numbers by 2<br \/>\n2\/7<\/p>\n<p>Question 19.<br \/>\nPose a Problem Use the multiplication table to write a new problem involving equivalent ratios. Then solve the problem.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe ratio of times he has gotten on base to the times he has been at bat is \\(\\frac{6}{9}\\). Write two ratios that are equivalent to \\(\\frac{6}{9}\\)<br \/>\n.multiply both numbers by 2 = 12\/18<br \/>\nmultiply both numbers by 3 = 18\/ 27<\/p>\n<p>Question 20.<br \/>\nDescribe how to write an equivalent ratio for \\(\\frac{9}{27}\\) without using a multiplication table.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{9}{27}\\) = \\(\\frac{18}{54}\\), \\(\\frac{3}{9}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{27}\\)<br \/>\nmultiply both numbers by 2, 18\/54<br \/>\ndivide both numbers by 3<br \/>\n3\/9<\/p>\n<p>Question 21.<br \/>\nWrite a ratio that is equivalent to \\(\\frac{6}{9} \\text { and } \\frac{16}{24}\\).<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{3}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{9} \\text { and } \\frac{16}{24}\\)<br \/>\n\\(\\frac{2}{3}\\) is the equivalent ratio to \\(\\frac{6}{9} \\text { and } \\frac{16}{24}\\)<\/p>\n<p>Question 22.<br \/>\nDetermine whether each ratio is equivalent to \\(\\frac{1}{3}, \\frac{5}{10}, \\text { or } \\frac{3}{5}\\). Write the ratio in the correct box.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4969\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-25.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 25\" width=\"509\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-25.jpg 509w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-25-300x37.jpg 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3\/9, 7\/21, 18\/30, 10\/30<\/p>\n<p>Explanation:<br \/>\n2\/4 = 1\/2<br \/>\n3\/9 = 1\/3<br \/>\n7\/21 = 1\/3<br \/>\n18\/30 = 3\/5<br \/>\n10\/30 = 1\/3<br \/>\n6\/10 = 2\/5<br \/>\n8\/16 = 4\/8 = 1\/2<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Multiplication_Tables_\u2013_Page_No._227\"><\/a>Equivalent Ratios and Multiplication Tables &#8211; Page No. 227<\/h3>\n<p><strong>Write two equivalent ratios.<\/strong><\/p>\n<p>Question 1.<br \/>\nUse a multiplication table to write two ratios that are equivalent to \\(\\frac{5}{3}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{5}{3}\\) = \\(\\frac{10}{6}\\), \\(\\frac{15}{9}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 5\/3. Shade the row for 5 and the row for 3 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 5, when there are 2 \u2219 3. So, 5\/3 equal to 10\/6<br \/>\nThe column for 3 shows there are 3 \u2219 5, when there are 3 \u2219 3. So, 5\/3 equal to 15\/9<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-26.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 26\" width=\"154\" height=\"75\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-24.jpg\" alt=\"Grade 6 Chapter 4 image 24\" width=\"152\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-24.jpg 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-24-150x90.jpg 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 6\/7. Shade the row for 6 and the row for 7 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 6 when there are 2 \u2219 7. So, 6\/7 equal to 12\/14<br \/>\nThe column for 3 shows there are 3 \u2219 6 when there are 3 \u2219 7. So, 6\/7 equal to 18\/21<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4971\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-27.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 27\" width=\"156\" height=\"76\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-25.jpg\" alt=\"Grade 6 Chapter 4 image 25\" width=\"154\" height=\"82\" \/><\/p>\n<p>Explanation:<br \/>\nThe original ratio is 3\/2. Shade the row for 3 and the row for 2 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 3 when there are 2 \u2219 2. So, 3\/2 equal to 6\/4<br \/>\nMultiply 3\/2 with 4\/4 = 12\/8<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{6}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{6}{8}\\) =\\(\\frac{12}{16}\\), \\(\\frac{18}{24}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 6\/8. Shade the row for 6 and the row for 8 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 6, when there are 2 \u2219 8. So, 6\/8 equal to 12\/16<br \/>\nThe column for 3 shows there are 3 \u2219 6, when there are 3 \u2219 8. So, 6\/8 equal to 18\/24<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{11}{1}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{11}{1}\\) = \\(\\frac{22}{2}\\), \\(\\frac{33}{3}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 11\/1. Shade the row for 11 and the row for 1 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 11, when there are 2 \u2219 1. So, 11\/1 equal to 22\/2<br \/>\nThe column for 3 shows there are 3 \u2219 11, when there are 3 \u2219 1. So, 11\/1 equal to 33\/3<\/p>\n<p><strong>Determine whether the ratios are equivalent.<\/strong><\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{3} \\text { and } \\frac{5}{6}\\).<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\n2\/3 is not equal to 5\/6<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{5}{10} \\text { and } \\frac{1}{6}\\).<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\n5\/10 is not equal to 1\/6<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{8}{3} \\text { and } \\frac{32}{12}\\).<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nYes<\/p>\n<p>Explanation:<br \/>\n8\/3 \u00d7 4\/4 = 32\/12<br \/>\n8\/3 is equal to 32\/12<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{9}{12} \\text { and } \\frac{3}{4}\\).<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nYes<\/p>\n<p>Explanation:<br \/>\n9\/12 \u00f7 3\/3 = 3\/4<br \/>\n9\/12 is equal to 3\/4<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 10.<br \/>\nTristan uses 7 stars and 9 diamonds to make a design. Write two ratios that are equivalent to \\(\\frac{7}{9}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{9}\\)\u00a0 = \\(\\frac{14}{18}\\) , \\(\\frac{21}{27}\\)<\/p>\n<p>Explanation:<br \/>\nTristan uses 7 stars and 9 diamonds to make a design.<br \/>\n\\(\\frac{7}{9}\\)<br \/>\nThe original ratio is 7\/9. Shade the row for 7 and the row for 9 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 7, when there are 2 \u2219 9. So, 7\/9 equal to 14\/18<br \/>\nThe column for 3 shows there are 3 \u2219 7, when there are 3 \u2219 9. So, 7\/9 equal to 21\/27<\/p>\n<p>Question 11.<br \/>\nThere are 12 girls and 16 boys in Javier\u2019s math class. There are 26 girls and 14 boys in Javier\u2019s choir class. Are the ratios of girls to boys in the two classes equivalent? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo, the ratio 26\/14 is not equal to the ratio 12\/16<\/p>\n<p>Question 12.<br \/>\nExplain how to determine whether two ratios are equivalent.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nIf any ratio is multiplied or divided by the same number, then the ratios are equivalent.<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Multiplication_Tables_Lesson_Check_\u2013_Page_No._228\"><\/a>Lesson Check &#8211; Page No. 228<\/h3>\n<p>Question 1.<br \/>\nA pancake recipe calls for 4 cups of flour and 3 cups milk. Does a recipe calling for 2 cups flour and 1.5 cups milk use the same ratio of flour to milk?<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nA muffin recipe that calls for 2 cups flour and 1.5 cups milk<\/p>\n<p>Explanation:<br \/>\nA pancake recipe calls for 4 cups of flour and 3 cups milk. A muffin recipe that calls for 2 cups flour and 1.5 cups milk.<\/p>\n<p>Question 2.<br \/>\nA bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe bracelet has 14 red and 19 gold, so the ratio between red and gold is 14\/19. We cannot simplify this ratio as there are not common factors between 14 and 19, because 19 is a prime number.<br \/>\nAs there are 84 red and 133 gold the ratio will be 84\/133. For this ratio to be equal to 14\/19 it should be that 84 is multiple of 14 and 133 multiple of 19, and both multiples must the same,<br \/>\n84\/133 is not equal to 14\/19<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nScissors come in packages of 3. Glue sticks come in packages of 10. Martha wants to buy the same number of each. What is the fewest glue sticks Martha can buy?<br \/>\n_____ glue sticks<\/p>\n<p>Answer:<br \/>\n30 glue sticks<\/p>\n<p>Explanation:<br \/>\nScissors come in packages of 3. Glue sticks come in packages of 10. Martha wants to buy the same number of each.<br \/>\n3 \u00d7 10 = 30 glue sticks<\/p>\n<p>Question 4.<br \/>\nCole had \\(\\frac{3}{4}\\) hour of free time before dinner. He spent \\(\\frac{2}{3}\\) of the time playing the guitar. How long did he play the guitar?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) hour<\/p>\n<p>Answer:<br \/>\n\\(\\frac{1}{2}\\) hour<\/p>\n<p>Explanation:<br \/>\nCole had \\(\\frac{3}{4}\\) hour of free time before dinner. He spent \\(\\frac{2}{3}\\) of the time playing the guitar.<br \/>\n\\(\\frac{2}{3}\\) \u00d7 \\(\\frac{3}{4}\\) = 1\/2 hour<\/p>\n<p>Question 5.<br \/>\nDelia has 3 \\(\\frac{5}{8}\\) yards of ribbon. About how many \\(\\frac{1}{4}\\)-yard-long pieces can she cut?<br \/>\nAbout _____ pieces<\/p>\n<p>Answer:<br \/>\nAbout 14 pieces<\/p>\n<p>Explanation:<br \/>\nLength of yards of ribbon is 3 5\/8 = 29\/8<br \/>\nLength of yards of ribbon pieces need to be cut is 1\/4<br \/>\nNumber of yards = 29\/8 \u00f7 1\/4 = 14.5 = 14<\/p>\n<p>Question 6.<br \/>\nWhich point is located at \u20131.1?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4972\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-28.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 28\" width=\"242\" height=\"69\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nB<\/p>\n<p>Explanation:<br \/>\n-1.1 is in between -1 and -2<br \/>\n-1.1 is close to -1<br \/>\nSo, the answer is point B<\/p>\n<h3><a id=\"Use_Tables_to_Compare_Ratios_\u2013_Page_No._231\"><\/a>Share and Show &#8211; Page No. 231<\/h3>\n<p>Question 1.<br \/>\nIn Jawan\u2019s school, 4 out of 10 students chose basketball as a sport they like to watch, and 3 out of 5 students chose football. Is the ratio of students who chose basketball (4 to 10) equivalent to the ratio of students who chose football (3 to 5)?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nthe ratio of students who chose basketball (4 to 10) is not equivalent to the ratio of students who chose football (3 to 5)<\/p>\n<p>Explanation:<br \/>\nIn Jawan\u2019s school, 4 out of 10 students chose basketball as a sport they like to watch, and 3 out of 5 students chose football.<br \/>\n4\/10 = 0.4<br \/>\n3\/5 = 0.6<br \/>\n0.4 is not equal to 0.6<br \/>\nThe ratio of students who chose basketball (4 to 10) is not equivalent to the ratio of students who chose football (3 to 5)<\/p>\n<p>Question 2.<br \/>\nWhat if 20 out of 50 students chose baseball as a sport they like to watch? Is this ratio equivalent to the ratio for either basketball or football? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe baseball ratio is equal to the basketball ratio<\/p>\n<p>Explanation:<br \/>\nIf 20 out of 50 students chose baseball, 20\/50 = 2\/5<br \/>\n2\/5 \u00d7 2\/2 = 4\/10<br \/>\nThe baseball ratio is equal to the basketball ratio.<\/p>\n<p>Question 3.<br \/>\nLook for Structure The table shows the results of the quizzes Hannah took in one week. Did Hannah get the same score on her math and science quizzes? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4973\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-29.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 29\" width=\"286\" height=\"188\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nHannah didn&#8217;t get the same score on her math and science quizzes<\/p>\n<p>Explanation:<br \/>\nSocial Studies = 4\/5<br \/>\nMath = 8\/10 = 0.8<br \/>\nScience = 3\/4 = 0.75<br \/>\nEnglish = 10\/12<br \/>\nMath = 8\/10<br \/>\nDivide the 8\/10 with 2\/2 = 8\/10 \u00f7 2\/2 = 4\/5<br \/>\nHannah didn&#8217;t get the same score on her math and science quizzes<\/p>\n<p>Question 4.<br \/>\nDid Hannah get the same score on the quizzes in any of her classes? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe ratio of Social Studies is equal to the ratio of Math<\/p>\n<p>Explanation:<br \/>\nSocial Studies = 4\/5 = 0.8<br \/>\nMath = 8\/10 = 0.8<br \/>\nScience = 3\/4 = 0.75<br \/>\nEnglish = 10\/12 = 0.8333<br \/>\nThe ratio of Social Studies is equal to the ratio of Math<\/p>\n<h3><a id=\"Use_Tables_to_Compare_Ratios_\u2013_Page_No._232\"><\/a>On Your Own &#8211; Page No. 232<\/h3>\n<p>Question 5.<br \/>\nFor every $10 that Julie makes, she saves $3. For every $15 Liam makes, he saves $6. Is Julie\u2019s ratio of money saved to money earned equivalent to Liam\u2019s ratio of money saved to money earned?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nJulie\u2019s ratio of money saved to money earned is not equivalent to Liam\u2019s ratio of money saved to money earned.<\/p>\n<p>Explanation:<br \/>\nNo. Julie&#8217;s ratio is 3:10 or 30 percent towards her savings while Lion&#8217;s is 6:15 which is 40 percent towards savings.<\/p>\n<p>Question 6.<br \/>\nA florist offers three different bouquets of tulips and irises. The list shows the ratios of tulips to irises in each bouquet. Determine the bouquets that have equivalent ratios.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4974\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-30.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 30\" width=\"375\" height=\"290\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-30.jpg 375w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-30-300x232.jpg 300w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe ratio of Spring Mix is equal to the ratio of Splash of Sun<\/p>\n<p>Explanation:<br \/>\nSpring Mix = 4\/6 = 0.66<br \/>\nMorning Melody = 9\/12 = 0.75<br \/>\nSplash of Sun = 10\/15 =0.66<br \/>\nThe ratio of Spring Mix is equal to the ratio of Splash of Sun<\/p>\n<p>Question 7.<br \/>\nThe ratio of boys to girls in a school\u2019s soccer club is 3 to 5. The ratio of boys to girls in the school\u2019s chess club is 13 to 15. Is the ratio of boys to girls in the soccer club equivalent to the ratio of boys to girls in the chess club? Explain<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\nThey are not equivalent because you can not reduce 13 any further because it is a prime number and if you multiply 3 by 3 and 5 by 3 you would get 9:15 as the equivalent ratio.<\/p>\n<p>Question 8.<br \/>\nAnalyze Thad, Joey, and Mia ran in a race. The finishing times were 4.56 minutes, 3.33 minutes, and 4.75 minutes. Thad did not finish last. Mia had the fastest time. What was each runner\u2019s time?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nMia = 3.33 minutes<br \/>\nJoey = 4.75 minutes<br \/>\nThad = 4.56 minutes<\/p>\n<p>Explanation:<br \/>\nMia had the fastest time. 3.33 minutes<br \/>\nThad did not finish last. So, Joey = 4.75 minutes<br \/>\nThad = 4.56 minutes<\/p>\n<p>Question 9.<br \/>\nFernando donates $2 to a local charity organization for every $15 he earns. Cleo donates $4 for every $17 she earns. Is Fernando\u2019s ratio of money donated to money earned equivalent to Cleo\u2019s ratio of money donated to money earned? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nFernando\u2019s ratio of money donated to money earned is not equivalent to Cleo\u2019s ratio of money donated to money earned<\/p>\n<p>Explanation:<br \/>\nFernando donates $2 to a local charity organization for every $15 he earns.<br \/>\n$2\/$15 = 0.1333<br \/>\nCleo donates $4 for every $17 she earns. $4\/$17 = 0.2359<br \/>\nFernando\u2019s ratio of money donated to money earned is not equivalent to Cleo\u2019s ratio of money donated to money earned<\/p>\n<h3><a id=\"Use_Tables_to_Compare_Ratios_\u2013_Page_No._233\"><\/a>Problem Solving Use Tables to Compare Ratios &#8211; Page No. 233<\/h3>\n<p><strong>Read each problem and solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nSarah asked some friends about their favorite colors. She found that 4 out of 6 people prefer blue, and 8 out of 12 people prefer green. Is the ratio of friends who chose blue to the total asked equivalent to the ratio of friends who chose green to the total asked?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nYes, 4\/6 is equivalent to 8\/12<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-26-300x204.jpg\" alt=\"Grade 6 Chapter 4 image 26\" width=\"300\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-26-300x204.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-26.jpg 341w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n4\/6 = 0.666<br \/>\n8\/12 = 0.666<\/p>\n<p>Question 2.<br \/>\nLisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads. Tim uses 9 red beads for every 6 yellow beads. Is the ratio of red beads to yellow beads in Lisa\u2019s necklace equivalent to the ratio in Tim\u2019s necklace?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe ratio of red beads to yellow beads in Lisa\u2019s necklace is not equivalent to the ratio in Tim\u2019s necklace<\/p>\n<p>Explanation:<br \/>\nLisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads.<br \/>\n5\/3 = 1.666<br \/>\nTim uses 9 red beads for every 6 yellow beads. 9\/6 = 1.5<br \/>\nThe ratio of red beads to yellow beads in Lisa\u2019s necklace is not equivalent to the ratio in Tim\u2019s necklace<\/p>\n<p>Question 3.<br \/>\nMitch scored 4 out of 5 on a quiz. Demetri scored 8 out of 10 on a quiz. Did Mitch and Demetri get equivalent scores?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nMitch and Demetri get equivalent scores<\/p>\n<p>Explanation:<br \/>\nMitch scored 4 out of 5 on a quiz. 4\/5 = 0.8<br \/>\nDemetri scored 8 out of 10 on a quiz. = 8\/10 = 0.8<br \/>\nMitch and Demetri get equivalent scores<\/p>\n<p>Question 4.<br \/>\nUse tables to show which of these ratios are equivalent : \\(\\frac{4}{6}\\), \\(\\frac{10}{25}, \\text { and } \\frac{6}{15}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{10}{25}, \\text { and } \\frac{6}{15}\\) are equal<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{6}\\) = 0.6666<br \/>\n\\(\\frac{10}{25}\\) = 0.4<br \/>\n\\(\\frac{6}{15}\\) = 0.4<br \/>\n\\(\\frac{10}{25}, \\text { and } \\frac{6}{15}\\) are equal<\/p>\n<h3><a id=\"Use_Tables_to_Compare_Ratios_Lesson_Check_\u2013_Page_No._234\"><\/a>Page No. 234<\/h3>\n<p>Question 1.<br \/>\nMrs. Sahd distributes pencils and paper to students in the ratio of 2 pencils to 10 sheets of paper. Three of these ratios are equivalent to \\(\\frac{2}{10}\\). Which one is NOT equivalent?<br \/>\n\\(\\frac{1}{5} \\frac{7}{15} \\frac{4}{20} \\frac{8}{40}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{15}\\) is not equal \\(\\frac{2}{10}\\)<\/p>\n<p>Explanation:<br \/>\nMrs. Sahd distributes pencils and paper to students in the ratio of 2 pencils to 10 sheets of paper. Three of these ratios are equivalent to \\(\\frac{2}{10}\\) = 0.2<br \/>\n\\(\\frac{1}{5}\\) = 0.2<br \/>\n\\(\\frac{7}{15}\\) = 0.4666<br \/>\n\\(\\frac{4}{20}\\) = 0.2<br \/>\n\\(\\frac{8}{40}\\) = 0.2<br \/>\n\\(\\frac{7}{15}\\) is not equal \\(\\frac{2}{10}\\)<\/p>\n<p>Question 2.<br \/>\nKeith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo, she cannot use a ratio of 21 cherries to 6 peaches<\/p>\n<p>Explanation:<br \/>\nKeith uses 18 cherries and 3 peaches to make a pie filling. 18\/3 = 6<br \/>\nLena uses a ratio of 21 cherries to 6 peaches, 21\/6 = 3.5<br \/>\nNo, she cannot use a ratio of 21 cherries to 6 peaches<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat is the quotient \\(\\frac{3}{20} \\div \\frac{7}{10}\\)?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{14}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{20} \\div \\frac{7}{10}\\)<br \/>\n3\/20 \u00d7 10\/7 = 3\/14<\/p>\n<p>Question 4.<br \/>\nWhich of these numbers is greater than \u2013 2.25 but less than \u20131?<br \/>\n1 -1.5 0 -2.5<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\n1 lies between 0 to 1<br \/>\n-1.5 lies between -1 and -2. It is greater than -2.25 and also less than -1<br \/>\n0 lies between -1 to 1<br \/>\n-2.5 lies between -2 and -3. -2.5 is less than -2.25<\/p>\n<p>Question 5.<br \/>\nAlicia plots a point at (0, 5) and (0, \u20132). What is the distance between the points?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n7 units<\/p>\n<p>Explanation:<br \/>\nAlicia plots a point at (0, 5) and (0, \u20132).<br \/>\nThe given points have the same x-coordinates.<br \/>\n|-2| = 2<br \/>\n5 + 0 = 5<br \/>\n0 + 2 = 2<br \/>\n5 + 2 = 7<br \/>\nThe distance is 7 units<\/p>\n<p>Question 6.<br \/>\nMorton sees these stickers at a craft store. What is the ratio of clouds to suns?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4975\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-31.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 31\" width=\"373\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-31.jpg 373w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-31-300x178.jpg 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3 : 2<\/p>\n<p>Explanation:<br \/>\nthere are 3 clouds and 2 suns. So, the ratio is 3 to 2.<\/p>\n<h3><a id=\"Use_Equivalent_Ratios_\u2013_Page_No._237\"><\/a>Share and Show &#8211; Page No. 237<\/h3>\n<p><strong>Use equivalent ratios to find the unknown value.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{?}{10}=\\frac{4}{5}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{10}\\) = \\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nUse common denominators to write equivalent ratios.<br \/>\n10 is a multiple of 5, so 10 is a common denominator.<br \/>\nMultiply the 4 and denominator by 2 to write the ratios using a common denominator.<br \/>\n4\/5 \u00d7 2\/2 = 8\/10<br \/>\nThe denominators are the same, so the numerators are equal to each other.<br \/>\nSo, the unknown value is 8\/10 = 4\/5<br \/>\n\\(\\frac{8}{10}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{18}{24}=\\frac{6}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{6}{8}\\) = \\(\\frac{18}{24}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 18 in the numerator.<br \/>\nDivide 18 by 6 to get 3<br \/>\nSo, divide the denominator by 24 as well.<br \/>\n24\/3 = 8<br \/>\nThe numerators are the same, so the denominators are equal to each other.<br \/>\nSo, the unknown value is 6\/8 = 18\/24<br \/>\n\\(\\frac{6}{8}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{3}{6}=\\frac{15}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{15}{30}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 15 in the numerator.<br \/>\nMultiply 3 with 5 to get 15<br \/>\nSo, Multiply 6 with 5 to get the denominator of unknown number.<br \/>\n6 \u00d7 5 = 30<br \/>\nThe numerators are the same, so the denominators are equal to each other.<br \/>\nSo, the unknown value is 3\/6 = 15\/30<br \/>\n\\(\\frac{15}{30}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{?}{5}=\\frac{8}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{5}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 10 in the denominator.<br \/>\nDivide 10 by 2 to get 5<br \/>\nSo, divide the numerator 8 as well.<br \/>\n8\/2 = 4<br \/>\nThe denominators are the same, so the numerators are equal to each other.<br \/>\nSo, the unknown value is 8\/10 = 4\/5<br \/>\n\\(\\frac{4}{5}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{7}{4}=\\frac{?}{12}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{21}{12}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 12 in the denominator.<br \/>\nMultiply 4 with 3 to get 12<br \/>\nSo, Multiply 7 with 3 to get the numerator of unknown number.<br \/>\n7 \u00d7 3 = 21<br \/>\nThe denominators are the same, so the numerators are equal to each other.<br \/>\nSo, the unknown value is 21\/12 = 7\/4<br \/>\n\\(\\frac{21}{12}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{10}{?}=\\frac{40}{12}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{10}{3}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 40 in the numerator.<br \/>\nDivide 40 by 4 to get 10<br \/>\nSo, divide the denominator 12 as well.<br \/>\n12\/4 = 3<br \/>\nThe numerators are the same, so the denominators are equal to each other.<br \/>\nSo, the unknown value is 10\/3 = 40\/12<br \/>\n\\(\\frac{10}{3}\\)<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Use equivalent ratios to find the unknown value.<\/strong><\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{6}=\\frac{?}{30}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{10}{30}\\)<\/p>\n<p>Explanation:<br \/>\nUse common denominators to write equivalent ratios.<br \/>\n30 is a multiple of 6, so 30 is a common denominator.<br \/>\nMultiply the 6 and denominator by 5 to write the ratios using a common denominator.<br \/>\n2\/6 \u00d7 5\/5 =10\/30<br \/>\nThe denominators are the same, so the numerators are equal to each other.<br \/>\nSo, the unknown value is 10\/30 = 2\/6<br \/>\n\\(\\frac{10}{30}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{5}{?}=\\frac{55}{110}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{5}{10}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 55 in the numerator.<br \/>\nDivide 55 with 11 to get 5<br \/>\nSo, Divide 110 with 11 to get the denominator of unknown number.<br \/>\n110\/11 = 10<br \/>\nThe numerators are the same, so the denominators are equal to each other.<br \/>\nSo, the unknown value is 5\/10 = 55\/110<br \/>\n\\(\\frac{5}{10}\\)<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{3}{9}=\\frac{9}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{9}{27}\\)<\/p>\n<p>Explanation:<br \/>\nWrite an equivalent ratio with 9 in the numerator.<br \/>\nMultiply 3 with 3 to get 9<br \/>\nSo, Multiply 9 with 3 to get the denominator of unknown number.<br \/>\n9 \u00d7 3 = 27<br \/>\nThe numerators are the same, so the denominators are equal to each other.<br \/>\nSo, the unknown value is 9\/27 = 3\/9<br \/>\n\\(\\frac{9}{27}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{?}{6}=\\frac{16}{24}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{6}\\)<\/p>\n<p>Explanation:<br \/>\nUse common denominators to write equivalent ratios.<br \/>\nDivide 24 with 4 to get 6.<br \/>\nSo, divide 16 with 4 to know the unknown number of numerator<br \/>\n16\/4 = 4<br \/>\nThe denominators are the same, so the numerators are equal to each other.<br \/>\nSo, the unknown value is 4\/6 = 16\/24<br \/>\n\\(\\frac{4}{6}\\)<\/p>\n<p>Question 11.<br \/>\nMavis walks 3 miles in 45 minutes. How many minutes will it take Mavis to walk 9 miles?<br \/>\n_____ minutes<\/p>\n<p>Answer:<br \/>\n135 minutes<\/p>\n<p>Explanation:<br \/>\nMavis walks 3 miles in 45 minutes.<br \/>\nFor 9 miles, (9 \u00d7 45)\/3 = 135 minutes<\/p>\n<p>Question 12.<br \/>\nThe ratio of boys to girls in a choir is 3 to 8. There are 32 girls in the choir. How many members are in the choir?<br \/>\n_____ members<\/p>\n<p>Answer:<br \/>\n12 members<\/p>\n<p>Explanation:<br \/>\nThe ratio of boys to girls in a choir is 3 to 8.<br \/>\n3\/8 \u00d7 4\/ 4 = 12\/32<br \/>\nSo, if there are 32 girls in the choir, there will be 12 boys present.<\/p>\n<p>Question 13.<br \/>\nUse Reasoning Is the unknown value in \\(\\frac{2}{3}=\\frac{?}{18}\\) the same as the unknown value in \\(\\frac{3}{2}=\\frac{18}{?}\\)? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n12<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{3}=\\frac{?}{18}\\)<br \/>\n2\/3 \u00d7 6\/6 = 12\/18<br \/>\nthe unknown value is 12<br \/>\n\\(\\frac{3}{2}=\\frac{18}{?}\\)<br \/>\n3\/2 \u00d7 6\/6 = 18\/12<br \/>\nthe unknown value is 12<\/p>\n<h3><a id=\"Use_Equivalent_Ratios_\u2013_Page_No._238\"><\/a>Problem Solving + Applications &#8211; Page No. 238<\/h3>\n<p><strong>Solve by finding an equivalent ratio.<\/strong><\/p>\n<p>Question 14.<br \/>\nIt takes 8 minutes for Sue to make 2 laps around the go-kart track. How many laps can Sue complete in 24 minutes?<br \/>\n_____ laps<\/p>\n<p>Answer:<br \/>\n6 laps<\/p>\n<p>Explanation:<br \/>\nIt takes 8 minutes for Sue to make 2 laps around the go-kart track.<br \/>\nFor 24 minutes, (24 \u00d7 2)\/8 = 48\/8 =6<\/p>\n<p>Question 15.<br \/>\nThe width of Jay\u2019s original photo is 8 inches. The length of the original photo is 10 inches. He prints a smaller version that has an equivalent ratio of width to length. The width of the smaller version is 4 inches less than the width of the original. What is the length of the smaller version?<br \/>\n_____ inches<\/p>\n<p>Answer:<br \/>\n5 inches<\/p>\n<p>Explanation:<br \/>\nThe width of Jay\u2019s original photo is 8 inches. The length of the original photo is 10 inches.<br \/>\n8\/10<br \/>\nHe prints a smaller version that has an equivalent ratio of width to length. The width of the smaller version is 4 inches less than the width of the original.<br \/>\n4\/s<br \/>\n8\/10 \u00f7 2\/2 = 4\/5<br \/>\n5 inches<\/p>\n<p>Question 16.<br \/>\nAriel bought 3 raffle tickets for $5. How many tickets could Ariel buy for $15?<br \/>\n_____ tickets<\/p>\n<p>Answer:<br \/>\n9 tickets<\/p>\n<p>Explanation:<br \/>\nAriel bought 3 raffle tickets for $5.<br \/>\nFor $15, ($15 \u00d7 3)\/ $5 = 45\/5 = 9<\/p>\n<p>Question 17.<br \/>\nWhat\u2019s the Error? Greg used the steps shown to find the unknown value. Describe his error and give the correct solution.<br \/>\n\\(\\frac{2}{6}=\\frac{?}{12}\\)<br \/>\n\\(\\frac{2+6}{6+6}=\\frac{?}{12}\\)<br \/>\n\\(\\frac{8}{12}=\\frac{?}{12}\\)<br \/>\nThe unknown value is 8.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nGreg added 6 to the numerator and denominator which is not correct to find the unknown value.<br \/>\n\\(\\frac{2}{6}=\\frac{?}{12}\\)<br \/>\n2\/6 \u00d7 2\/2 = 4\/12<br \/>\n4 is the unknown value.<\/p>\n<p>Question 18.<br \/>\nCourtney bought 3 maps for $10. Use the table of equivalent ratios to find how many maps she can buy for $30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4976\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-32.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 32\" width=\"484\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-32.jpg 484w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-32-300x64.jpg 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-28-300x72.jpg\" alt=\"Grade 6 Chapter 4 image 28\" width=\"300\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-28-300x72.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-28.jpg 511w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n3\/10 \u00d7 3\/3 = 9\/30<\/p>\n<h3><a id=\"Use_Equivalent_Ratios_\u2013_Page_No._239\"><\/a>Use Equivalent Ratios &#8211; Page No. 239<\/h3>\n<p><strong>Use equivalent ratios to find the unknown value.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{4}{10}=\\frac{?}{40}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{16}{40}\\)<\/p>\n<p>Explanation:<br \/>\n4\/10 \u00d7 4\/4 = 16\/40<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{3}{24}=\\frac{33}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{33}{264}\\)<\/p>\n<p>Explanation:<br \/>\n3\/24 \u00d7 11\/11 = 33\/264<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{7}{?}=\\frac{21}{27}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{9}\\)<\/p>\n<p>Explanation:<br \/>\n21\/27 \u00f7 3\/3 = 7\/9<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{?}{9}=\\frac{12}{54}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{9}\\)<\/p>\n<p>Explanation:<br \/>\n12\/54 \u00f7 6\/6 = 2\/9<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{3}{2}=\\frac{12}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{12}{8}\\)<\/p>\n<p>Explanation:<br \/>\n3\/2 \u00d7 4\/4 = 12\/8<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{4}{5}=\\frac{?}{40}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{32}{40}\\)<\/p>\n<p>Explanation:<br \/>\n4\/5 \u00d7 8\/8 = 32\/40<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{?}{2}=\\frac{45}{30}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{2}\\)<\/p>\n<p>Explanation:<br \/>\n45\/30 \u00f7 15\/15 = 3\/2<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{45}{?}=\\frac{5}{6}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n\\(\\frac{45}{54}\\)<\/p>\n<p>Explanation:<br \/>\n5\/6 \u00d7 9\/9 = 45\/54<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 9.<br \/>\nHoneybees produce 7 pounds of honey for every 1 pound of beeswax they produce. Use equivalent ratios to find how many pounds of honey are produced when 25 pounds of beeswax are produced.<br \/>\n_____ pounds<\/p>\n<p>Answer:<br \/>\n175 pounds<\/p>\n<p>Explanation:<br \/>\nHoneybees produce 7 pounds of honey for every 1 pound of beeswax they produce.<br \/>\n7\/1<br \/>\n25 pounds of beeswax, 25 \u00d7 7 = 175 pounds<\/p>\n<p>Question 10.<br \/>\nA 3-ounce serving of tuna provides 21 grams of protein. Use equivalent ratios to find how many grams of protein are in 9 ounces of tuna.<br \/>\n_____ grams of protein<\/p>\n<p>Answer:<br \/>\n63 grams of protein<\/p>\n<p>Explanation:<br \/>\nA 3-ounce serving of tuna provides 21 grams of protein.<br \/>\nFor 9 ounces of tuna, (21 \u00d7 9)\/3 = 63<\/p>\n<p>Question 11.<br \/>\nExplain how using equivalent ratios is like adding fractions with unlike denominators.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nEquivalent ratios have different numbers but represent the same relationship. In this tutorial, you&#8217;ll see how to find equivalent ratios by first writing the given ratio as a fraction. And it cannot be the same by adding tow fraction with different ratio<\/p>\n<h3><a id=\"Use_Equivalent_Ratios_Lesson_Check_\u2013_Page_No._240\"><\/a>Lesson Check &#8211; Page No. 240<\/h3>\n<p>Question 1.<br \/>\nJaron paid $2.70 for 6 juice boxes. How much should Jaron expect to pay for 18 juice boxes?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$8.1<\/p>\n<p>Explanation:<br \/>\nJaron paid $2.70 for 6 juice boxes. For 6 boxes he paid $2.70.<br \/>\nFor 18 juice boxes, (18 \u00d7 $2.70)\/6 = $8.1<\/p>\n<p>Question 2.<br \/>\nA certain shade of orange paint is made by mixing 3 quarts of red paint with 2 quarts of yellow paint. To make more paint of the same shade, how many quarts of yellow paint should be mixed with 6 quarts of red paint?<br \/>\n_____ quarts<\/p>\n<p>Answer:<br \/>\n4 quarts<\/p>\n<p>Explanation:<br \/>\nA certain shade of orange paint is made by mixing 3 quarts of red paint with 2 quarts of yellow paint.<br \/>\n3 quarts of red paint is mixed with 2 quarts of yellow paint<br \/>\nSo, 6 quarts of red paint is mixed with 6\/3 \u00d7 2 = 4 quarts of yellow paint<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat is the quotient \\(2 \\frac{4}{5} \\div 1 \\frac{1}{3}\\)?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{1}{10}\\)<\/p>\n<p>Explanation:<br \/>\n2 4\/5 = 14\/5 = 2.8<br \/>\n1 1\/3 = 4\/3 = 1.333<br \/>\n2.8\/1.333 = 2 1\/10<\/p>\n<p>Question 4.<br \/>\nWhat is the quotient \\(-2 \\frac{2}{3}\\)?<br \/>\n______ \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{11}{16}\\)<\/p>\n<p>Explanation:<br \/>\n\u22124 1\/2 \u00f7 -2 2\/3<br \/>\n1 11\/16<\/p>\n<p>Question 5.<br \/>\nOn a map, a clothing store is located at (\u20132, \u20133). A seafood restaurant is located 6 units to the right of the clothing store. What are the coordinates of the restaurant?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>.Answer:<br \/>\n(4, -3)<\/p>\n<p>Explanation:<br \/>\nOn a map, a clothing store is located at (\u20132, \u20133). A seafood restaurant is located 6 units to the right of the clothing store.<br \/>\n|-2| = 2<br \/>\n2 + 0 = 2<br \/>\n0+4 = 4<br \/>\n2 + 4 = 6 units<\/p>\n<p>Question 6.<br \/>\nMarisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to Marisol\u2019s ratio.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n27\/6 and 45\/10<\/p>\n<p>Explanation:<br \/>\nMarisol plans to make 9 mini-sandwiches for every 2 people attending her party. 9\/2 \u00d7 3\/3 = 27\/6<br \/>\n9\/2 \u00d7 5\/5 = 45\/10<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_\u2013_Page_No._241\"><\/a>Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 241<\/h3>\n<p><strong>Choose the best term from the box to complete the sentence.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4977\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-33.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 33\" width=\"274\" height=\"227\" \/><\/p>\n<p>Question 1.<br \/>\nA _____ is a rate that makes a comparison to 1 unit.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nrate<\/p>\n<p>Question 2.<br \/>\nTwo ratios that name the same comparison are _____ .<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nEquivalent Ratios<\/p>\n<p><strong>Concepts and Skills<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4978\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-34.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 34\" width=\"395\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-34.jpg 395w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-34-300x118.jpg 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><\/p>\n<p>Question 3.<br \/>\nWrite the ratio of red circles to blue squares.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3 : 5<\/p>\n<p>Explanation:<br \/>\nThere are 3 red counter and 5 square boxes.<br \/>\nSo, the ratio is 3 : 5<\/p>\n<p><strong>Write the ratio in two different ways.<\/strong><\/p>\n<p>Question 4.<br \/>\n8 to 12<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{12}\\)<br \/>\n8 : 12<\/p>\n<p>Explanation:<br \/>\n8 to 12 as a fraction\u00a0 \\(\\frac{8}{12}\\)<br \/>\n8 to 12 with a colon 8 : 12<\/p>\n<p>Question 5.<br \/>\n7 : 2<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{2}\\)<br \/>\n7 to 2<\/p>\n<p>Explanation:<br \/>\n7 : 2 as a fraction\u00a0 \\(\\frac{7}{2}\\)<br \/>\n7 : 2 using words 7 to 2<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{5}{9}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5 to 9<br \/>\n5 : 9<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{9}\\) using words 5 to 9<br \/>\n\\(\\frac{5}{9}\\) with a colon 5 : 9<\/p>\n<p>Question 7.<br \/>\n11 to 3<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{11}{3}\\)<br \/>\n11 : 3<\/p>\n<p>Explanation:<br \/>\n11 to 3 as a fraction \\(\\frac{11}{3}\\)<br \/>\n11 to 3 with a colon 11 : 3<\/p>\n<p><strong>Write two equivalent ratios.<\/strong><\/p>\n<p>Question 8.<br \/>\n\\(\\frac{2}{7}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{7}\\) = \\(\\frac{4}{14}\\), \\(\\frac{6}{21}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 2\/7. Shade the row for 2 and the row for 7 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 2, when there are 2 \u2219 7. So, 2\/7 equal to 4\/14<br \/>\nThe column for 3 shows there are 3 \u2219 2, when there are 3 \u2219 7. So, 2\/7 equal to 6\/21<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{5}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{6}{5}\\) = \\(\\frac{12}{10}\\), \\(\\frac{18}{15}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 6\/5. Shade the row for 6 and the row for 5 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 6, when there are 2 \u2219 5. So, 6\/5 equal to 12\/10<br \/>\nThe column for 3 shows there are 3 \u2219 6, when there are 3 \u2219 5. So, 6\/5 equal to 18\/15<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{9}{12}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{9}{12}\\) = \\(\\frac{18}{24}\\), \\(\\frac{27}{36}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 9\/12. Shade the row for 9 and the row for 12 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 9, when there are 2 \u2219 12. So, 9\/12 equal to 18\/24<br \/>\nThe column for 3 shows there are 3 \u2219 9, when there are 3 \u2219 12. So, 9\/12 equal to 27\/36<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{18}{6}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{18}{6}\\) = \\(\\frac{36}{12}\\), \\(\\frac{54}{18}\\)<\/p>\n<p>Explanation:<br \/>\nThe original ratio is 18\/6. Shade the row for 18 and the row for 6 on the multiplication table.<br \/>\nThe column for 2 shows there are 2 \u2219 18, when there are 2 \u2219 6. So, 18\/6 equal to 36\/12<br \/>\nThe column for 3 shows there are 3 \u2219 18, when there are 3 \u2219 6. So, 18\/6 equal to 54\/18<\/p>\n<p><strong>Find the unknown value.<\/strong><\/p>\n<p>Question 12.<br \/>\n\\(\\frac{15}{?}=\\frac{5}{10}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n30<\/p>\n<p>Explanation:<br \/>\n5\/10 \u00d7 3\/3 = 15\/30<br \/>\nSo, the unknown number is 30<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{?}{9}=\\frac{12}{3}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n36<\/p>\n<p>Explanation:<br \/>\n12\/3 \u00d7 3\/3 = 36\/9<br \/>\nSo, the unknown number is 36<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{48}{16}=\\frac{?}{8}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n24<\/p>\n<p>Explanation:<br \/>\n48\/16 \u00f7 2\/2 = 24\/8<br \/>\nSo, the unknown number is 24<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{9}{36}=\\frac{3}{?}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n12<\/p>\n<p>Explanation:<br \/>\n9\/36 \u00f7 3\/3 = 3\/12<br \/>\nSo, the unknown number is 12<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_\u2013_Page_No._242\"><\/a>Page No. 242<\/h3>\n<p>Question 16.<br \/>\nThere are 36 students in the chess club, 40 students in the drama club, and 24 students in the film club. What is the ratio of students in the drama club to students in the film club?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n40 to 24<\/p>\n<p>Explanation:<br \/>\nThere are 36 students in the chess club, 40 students in the drama club, and 24 students in the film club.<br \/>\nThe ratio of students in the drama club to students in the film club 40 to 24<\/p>\n<p>Question 17.<br \/>\nA trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts, and 2 cups of cashews. Which ingredients are in the same ratio as cashews to raisins?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\ndates to peanuts<\/p>\n<p>Explanation:<br \/>\nA trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts, and 2 cups of cashews.<br \/>\ncashews to raisins = 2\/4 = 1\/2<br \/>\ndates to peanuts = 3\/6 = 1\/2<\/p>\n<p>Question 18.<br \/>\nThere are 32 adults and 20 children at a school play. What is the ratio of children to people at the school play?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5 to 13<\/p>\n<p>Explanation:<br \/>\nThere are 32 adults and 20 children at a school play.<br \/>\npeople = 32 + 20 = 52<br \/>\nthe ratio of children to people at the school play = 20\/52 = 5\/13<\/p>\n<p>Question 19.<br \/>\nSonya got 8 out of 10 questions right on a quiz. She got the same score on a quiz that had 20 questions. How many questions did Sonya get right on the second quiz? How many questions did she get wrong on the second quiz?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n4 wrong<\/p>\n<p>Explanation:<br \/>\n8\/10 = x\/20<br \/>\nSo, 10 \u00d7 2 = 20, so 8 \u00d7 2=16<br \/>\nso she got 16 out of 20 right and 20 &#8211; 16 = 4<br \/>\nShe got 4 wrong.<\/p>\n<h3><a id=\"Find_Unit_Rates_\u2013_Page_No._245\"><\/a>Share and Show &#8211; Page No. 245<\/h3>\n<p><strong>Write the rate as a fraction. Then find the unit rate.<\/strong><\/p>\n<p>Question 1.<br \/>\nSara drove 72 miles on 4 gallons of gas.<br \/>\n_____ miles\/gallon<\/p>\n<p>Answer:<br \/>\n18 miles\/gallon<\/p>\n<p>Explanation:<br \/>\nSara drove 72 miles on 4 gallons of gas.<br \/>\n72\/4<br \/>\nDivide 72\/4 with 4\/4<br \/>\n72\/4 \u00f7 4\/4 = 18<\/p>\n<p>Question 2.<br \/>\nDean paid $27.00 for 4 movie tickets.<br \/>\n$ _____ per ticket<\/p>\n<p>Answer:<br \/>\n$6.75 per ticket<\/p>\n<p>Explanation:<br \/>\nDean paid $27.00 for 4 movie tickets.<br \/>\n$27.00\/4<br \/>\nDivide $27.00\/4 with 4\/4<br \/>\n$27.00\/4 \u00f7 4\/4 = $6.75<\/p>\n<p>Question 3.<br \/>\nAmy and Mai have to read Bud, Not Buddy for a class. Amy reads 20 pages in 2 days. Mai reads 35 pages in 3 days. Who reads at a faster rate?<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nMai reads at a faster rate<\/p>\n<p>Explanation:<br \/>\nAmy and Mai have to read Bud, Not Buddy for a class.<br \/>\nAmy reads 20 pages in 2 days. 20\/2 = 10 pages for each day<br \/>\nMai reads 35 pages in 3 days. 35\/3 = 11.66 pages for each day<br \/>\nMai reads at a faster rate<\/p>\n<p>Question 4.<br \/>\nAn online music store offers 5 downloads for $6.25. Another online music store offers 12 downloads for $17.40. Which store offers the better deal?<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nAn online music store offers 5 downloads for $6.25 offers the better deal<\/p>\n<p>Explanation:<br \/>\nAn online music store offers 5 downloads for $6.25.<br \/>\n$6.25\/5 = $1.25<br \/>\nAnother online music store offers 12 downloads for $17.40.<br \/>\n$17.40\/12 = $1.45<br \/>\nAn online music store offers 5 downloads for $6.25 offers the better deal<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write the rate as a fraction. Then find the unit rate.<\/strong><\/p>\n<p>Question 5.<br \/>\nA company packed 108 items in 12 boxes.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n9<\/p>\n<p>Explanation:<br \/>\nA company packed 108 items in 12 boxes.<br \/>\n108\/12<br \/>\nDivide 108\/12 with 12\/12<br \/>\n108\/12 \u00f7 12\/12 = 9<\/p>\n<p>Question 6.<br \/>\nThere are 112 students for 14 teachers.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n8<\/p>\n<p>Explanation:<br \/>\nThere are 112 students for 14 teachers.<br \/>\n112\/14<br \/>\nDivide 112\/14 with 14\/14<br \/>\n112\/14 \u00f7 14\/14 = 8<\/p>\n<p>Question 7.<br \/>\nGeoff charges $27 for 3 hours of swimming lessons. Anne charges $31 for 4 hours. How much more does Geoff charge per hour than Anne?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$1.25<\/p>\n<p>Explanation:<br \/>\nGeoff charges $27 for 3 hours of swimming lessons.<br \/>\n$27\/3 = $9 for an hour<br \/>\nAnne charges $31 for 4 hours.<br \/>\n$31\/4 = $7.75<br \/>\n$9 &#8211; $7.75 = $1.25<br \/>\nGeoff charge $1.25 per hour more than Anne<\/p>\n<p>Question 8.<br \/>\nCompare One florist made 16 bouquets in 5 hours. A second florist made 40 bouquets in 12 hours. Which florist makes bouquets at a faster rate?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nA second florist made 40 bouquets in 12 hours at a faster rate<\/p>\n<p>Explanation:<br \/>\nCompare One florist made 16 bouquets in 5 hours.<br \/>\n16\/5 = 3.2<br \/>\nA second florist made 40 bouquets in 12 hours.<br \/>\n40\/12 = 3.333<br \/>\nA second florist made 40 bouquets in 12 hours at a faster rate<\/p>\n<p><strong>Tell which rate is faster by comparing unit rates.<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(\\frac{160 \\mathrm{mi}}{2 \\mathrm{hr}} \\text { and } \\frac{210 \\mathrm{mi}}{3 \\mathrm{hr}}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n160mi\/2hr<\/p>\n<p>Explanation:<br \/>\n160mi\/2hr \u00f7 2\/2 = 80mi\/hr<br \/>\n210mi\/3hr = 70mi\/hr<br \/>\n80mi\/hr &gt; 70mi\/hr<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{270 \\mathrm{ft}}{9 \\mathrm{min}} \\text { and } \\frac{180 \\mathrm{ft}}{9 \\mathrm{min}}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n270ft\/9min<\/p>\n<p>Explanation:<br \/>\n270ft\/9min = 30ft\/min<br \/>\n180ft\/9min = 20ft\/min<br \/>\n30ft\/min &gt; 20ft\/min<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{250 \\mathrm{m}}{10 \\mathrm{s}} \\text { and } \\frac{120 \\mathrm{m}}{4 \\mathrm{s}}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n250m\/10s<\/p>\n<p>Explanation:<br \/>\n250m\/10s = 25m\/s<br \/>\n120m\/4s = 20m\/s<br \/>\n25m\/s &gt; 20m\/s<\/p>\n<h3><a id=\"Find_Unit_Rates_\u2013_Page_No._246\"><\/a>Unlock the Problem &#8211; Page No. 246<\/h3>\n<p>Question 12.<br \/>\nRyan wants to buy treats for his puppy. If Ryan wants to buy the treats that cost the least per pack, which treat should he buy? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4979\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-35.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 35\" width=\"351\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-35.jpg 351w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-35-300x146.jpg 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWe need to find that cost the least per pack<\/p>\n<p>Question 12.<br \/>\nb. Find the price per pack for each treat.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nPup bites = $5.76\/4 \u00f7 4\/4 = $1.44<br \/>\nDoggie Treats = $7.38\/6 \u00f7 6\/6 = $1.23<br \/>\nPupster snacks = $7.86\/6 \u00f7 6\/6 = $1.31<br \/>\nNutri-Biscuits = $9.44\/8 \u00f7 8\/8 = $1.18<\/p>\n<p>Question 12.<br \/>\nc. Complete the sentences<br \/>\nThe treat with the highest price per pack is _____.<br \/>\nThe treat with the lowest price per pack is _____.<br \/>\nRyan should buy _____ because _____.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe treat with the highest price per pack is Pup bites.<br \/>\nThe treat with the lowest price per pack is Nutri-Biscuits.<br \/>\nRyan should buy Nutri-Biscuits because it has the least cost.<\/p>\n<p>Question 13.<br \/>\nReason Abstractly What information do you need to consider in order to decide whether one product is a better deal than another? When might the lower unit rate not be the best choice? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWe will consider the low cost in order to decide whether one product is a better deal than another.<br \/>\nThe lower unit rate is not the best choice. Because it will show the highest cost.<\/p>\n<p>Question 14.<br \/>\nSelect the cars that get a higher mileage per gallon of gas than a car that gets 25 miles per gallon. Mark all that apply.<br \/>\nOptions:<br \/>\na. Car A 22 miles per 1 gallon<br \/>\nb. Car B 56 miles per 2 gallons<br \/>\nc. Car C 81 miles per 3 gallons<br \/>\nd. Car D 51 miles per 3 gallons<\/p>\n<p>Answer:<br \/>\nb. Car B 56 miles per 2 gallons<br \/>\nc. Car C 81 miles per 3 gallons<\/p>\n<p>Explanation:<br \/>\n22\/1 = 22<br \/>\n56\/2 = 28<br \/>\n81\/3 = 27<br \/>\n51\/3 = 17<\/p>\n<h3><a id=\"Find_Unit_Rates_\u2013_Page_No._247\"><\/a>Find Unit Rates &#8211; Page No. 247<\/h3>\n<p><strong>Write the rate as a fraction. Then find the unit rate.<\/strong><\/p>\n<p>Question 1.<br \/>\nA wheel rotates through 1,800\u00ba in 5 revolutions.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nA wheel rotates through 1,800\u00ba in 5 revolutions.<br \/>\n1,800\u00ba\/5 revolutions<br \/>\n1,800\u00ba\/5 revolutions \u00f7 5\/5 = 360\u00ba\/1revolution<\/p>\n<p>Question 2.<br \/>\nThere are 312 cards in 6 decks of playing cards.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n52 cards\/1 deck of playing cards<\/p>\n<p>Explanation:<br \/>\nThere are 312 cards in 6 decks of playing cards.<br \/>\n312\/6 \u00f7 6\/6 = 52 cards\/1 deck of playing cards<\/p>\n<p>Question 3.<br \/>\nBana ran 18.6 miles of a marathon in 3 hours.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n6.2 miles\/hour<\/p>\n<p>Explanation:<br \/>\nBana ran 18.6 miles of a marathon in 3 hours.<br \/>\n18.6 miles\/ 3 hours \u00f7 3\/3 = 6.2 miles\/hour<\/p>\n<p>Question 4.<br \/>\nCameron paid $30.16 for 8 pounds of almonds.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n$3.77\/1 pound<\/p>\n<p>Explanation:<br \/>\nCameron paid $30.16 for 8 pounds of almonds.<br \/>\n$30.16\/8 pounds \u00f7 8\/8 = $3.77\/1 pound<\/p>\n<p><strong>Compare unit rates.<\/strong><\/p>\n<p>Question 5.<br \/>\nAn online game company offers a package that includes 2 games for $11.98. They also offer a package that includes 5 games for $24.95. Which package is a better deal?<br \/>\n_____ package<\/p>\n<p>Answer:<br \/>\n5 game package<\/p>\n<p>Explanation:<br \/>\nAn online game company offers a package that includes 2 games for $11.98.<br \/>\n$11.98\/2 = $5.99<br \/>\nThey also offer a package that includes 5 games for $24.95.<br \/>\n$24.95\/5 = $4.99<\/p>\n<p>Question 6.<br \/>\nAt a track meet, Samma finished the 200-meter race in 25.98 seconds. Tom finished the 100-meter race in 12.54 seconds. Which runner ran at a faster average rate?<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nTom<\/p>\n<p>Explanation:<br \/>\nAt a track meet, Samma finished the 200-meter race in 25.98 seconds.<br \/>\n200\/25.98 seconds = 7.698 &#8211; meter\/1 sec<br \/>\nTom finished the 100-meter race in 12.54 seconds.<br \/>\n100 &#8211; meter\/12.54 seconds = 7.974 &#8211; meter\/1 sec<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 7.<br \/>\nSylvio\u2019s flight is scheduled to travel 1,792 miles in 3.5 hours. At what average rate will the plane have to travel to complete the trip on time?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n512 miles per hour<\/p>\n<p>Explanation:<br \/>\nSylvio\u2019s flight is scheduled to travel 1,792 miles in 3.5 hours.<br \/>\n1,792 miles\/3.5 hours \u00f7 3.5\/3.5 = 512 miles per hour<\/p>\n<p>Question 8.<br \/>\nRachel bought 2 pounds of apples and 3 pounds of peaches for a total of $10.45. The apples and peaches cost the same amount per pound. What was the unit rate?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n$2.09 per pound<\/p>\n<p>Explanation:<br \/>\nRachel bought 2 pounds of apples and 3 pounds of peaches for a total of $10.45.<br \/>\nThe apples and peaches cost the same amount per pound.<br \/>\n2 + 3 = 5<br \/>\n$10.45\/5 = $2.09 per pound<\/p>\n<p>Question 9.<br \/>\nWrite a word problem that involves comparing unit rates.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nAt a track meet, Samma finished the 200-meter race in 25.98 seconds. Tom finished the 100-meter race in 12.54 seconds. Which runner ran at a faster average rate?<br \/>\nAt a track meet, Samma finished the 200-meter race in 25.98 seconds.<br \/>\n200\/25.98 seconds = 7.698 &#8211; meter\/1 sec<br \/>\nTom finished the 100-meter race in 12.54 seconds.<br \/>\n100 &#8211; meter\/12.54 seconds = 7.974 &#8211; meter\/1 sec<br \/>\nTom<\/p>\n<h3><a id=\"Find_Unit_Rates_Lesson_Check_\u2013_Page_No._248\"><\/a>Lesson Check &#8211; Page No. 248<\/h3>\n<p>Question 1.<br \/>\nCran\u2013Soy trail mix costs $2.99 for 5 ounces, Raisin\u2013Nuts mix costs $3.41 for 7 ounces, Lots of Cashews mix costs $7.04 for 8 ounces, and Nuts for You mix costs $2.40 for 6 ounces. List the trail mix brands in order from the least expensive to the most expensive.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNuts for You, Raisin\u2013Nuts, Cran\u2013Soy trail mix, Lots of Cashews mix<\/p>\n<p>Explanation:<br \/>\nCran\u2013Soy trail mix costs $2.99 for 5 ounces,<br \/>\n$2.99\/5 = $0.598<br \/>\nRaisin\u2013Nuts mix costs $3.41 for 7 ounces,<br \/>\n$3.41\/7 = $0.487<br \/>\nLots of Cashews mix costs $7.04 for 8 ounces,<br \/>\n$7.04\/8 = $0.88<br \/>\nand Nuts for You mix costs $2.40 for 6 ounces.<br \/>\n$2.40\/6 = $0.4<\/p>\n<p>Question 2.<br \/>\nAaron\u2019s heart beats 166 times in 120 seconds. Callie\u2019s heart beats 88 times in 60 seconds. Emma\u2019s heart beats 48 times in 30 seconds. Galen\u2019s heart beats 22 times in 15 seconds. Which two students\u2019 heart rates are equivalent?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nCallie and Galen<\/p>\n<p>Explanation:<br \/>\nAaron\u2019s heart beats 166 times in 120 seconds.<br \/>\n166\/120 = 1.3833<br \/>\nCallie\u2019s heart beats 88 times in 60 seconds.<br \/>\n88\/60 = 1.4666<br \/>\nEmma\u2019s heart beats 48 times in 30 seconds.<br \/>\n48\/30 = 1.6<br \/>\nGalen\u2019s heart beats 22 times in 15 seconds.<br \/>\n22\/15 = 1.4666<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nCourtlynn combines \\(\\frac{7}{8}\\) cup sour cream with \\(\\frac{1}{2}\\) cup cream cheese. She then divides the mixture between 2 bowls. How much mixture does Courtlynn put in each bowl?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) cup<\/p>\n<p>Answer:<br \/>\n\\(\\frac{11}{16}\\) cup<\/p>\n<p>Explanation:<br \/>\nCourtlynn combines \\(\\frac{7}{8}\\) cup sour cream with \\(\\frac{1}{2}\\) cup cream cheese.<br \/>\n7\/8 + 1\/2 = 11\/8<br \/>\n11\/8 \u00f7 2 = 11\/8 \u00d7 1\/2 = 11\/16 cup<\/p>\n<p>Question 4.<br \/>\nWrite a comparison using &lt; or &gt; to show the relationship between |-\\(\\frac{2}{3}\\)| and &#8211; \\(\\frac{5}{6}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n&gt;<\/p>\n<p>Explanation:<br \/>\n|-\\(\\frac{2}{3}\\)| = 2\/3 = 0.666<br \/>\n&#8211; \\(\\frac{5}{6}\\) = -0.8333<br \/>\n|-\\(\\frac{2}{3}\\)| &gt; &#8211; \\(\\frac{5}{6}\\)<\/p>\n<p>Question 5.<br \/>\nThere are 18 tires on one truck. How many tires are on 3 trucks of the same type?<br \/>\n_____ tires<\/p>\n<p>Answer:<br \/>\n54 tires<\/p>\n<p>Explanation:<br \/>\nThere are 18 tires on one truck.<br \/>\nFor 3 trucks, (3 \u00d7 18)\/1 = 54 tires<\/p>\n<p>Question 6.<br \/>\nWrite two ratios that are equivalent to \\(\\frac{5}{6}\\).<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{5}{6}\\) = \\(\\frac{10}{12}\\), \\(\\frac{15}{18}\\)<\/p>\n<p>Explanation:<br \/>\n5\/6 \u00d7 2\/2 = 10\/12<br \/>\n5\/6 \u00d7 3\/3 = 15\/18<\/p>\n<h3><a id=\"Use_Unit_Rates_\u2013_Page_No._251\"><\/a>Share and Show &#8211; Page No. 251<\/h3>\n<p><strong>Use a unit rate to find the unknown value.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{10}{?}=\\frac{6}{3}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n5<\/p>\n<p>Explanation:<br \/>\n6\/3 \u00f7 3\/3 = 2\/1<br \/>\n2\/1 \u00d7 5\/5 = 10\/1<br \/>\nThe unknown value is 5<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{6}{8}=\\frac{?}{20}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n15<\/p>\n<p>Explanation:<br \/>\n6\/8 \u00f7 8\/8 = 0.75\/1<br \/>\n0.75\/1 \u00d7 20\/20 = 15\/20<br \/>\nThe unknown value is 15<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Use a unit rate to find the unknown value.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{40}{8}=\\frac{45}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n9<\/p>\n<p>Explanation:<br \/>\n40\/8 \u00f7 8\/8 = 5\/1<br \/>\n5\/1 \u00d7 9\/9 = 45\/9<br \/>\nThe unknown value is 9<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{42}{14}=\\frac{?}{5}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n15<\/p>\n<p>Explanation:<br \/>\n42\/14 \u00f7 14\/14 = 3\/1<br \/>\n3\/1 \u00d7 5\/5 = 15\/5<br \/>\nThe unknown value is 15<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{?}{2}=\\frac{56}{8}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n14<\/p>\n<p>Explanation:<br \/>\n56\/8 \u00f7 8\/8 = 7\/1<br \/>\n7\/1 \u00d7 2\/2 = 14\/2<br \/>\nThe unknown value is 14<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{?}{4}=\\frac{26}{13}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n8<\/p>\n<p>Explanation:<br \/>\n26\/13 \u00f7 13\/13 = 2\/1<br \/>\n2\/1 \u00d7 4\/4 = 8\/4<br \/>\nThe unknown value is 8<\/p>\n<p><strong>Practice: Copy and Solve Draw a bar model to find the unknown value.<\/strong><\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{32}=\\frac{9}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-29-300x107.jpg\" alt=\"Grade 6 Chapter 4 image 29\" width=\"300\" height=\"107\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-29-300x107.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-29.jpg 517w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n4\/32 \u00f7 32\/32 = 0.125\/1<br \/>\n0.125\/1 \u00d7 72\/72 = 9\/72<br \/>\nThe unknown value is 72<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{9}{3}=\\frac{?}{4}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-30.jpg\" alt=\"Grade 6 Chapter 4 image 30\" width=\"262\" height=\"187\" \/><br \/>\n12<\/p>\n<p>Explanation:<br \/>\n9\/3 \u00f7 3\/3 = 3\/1<br \/>\n3\/1 \u00d7 4\/4 = 12\/4<br \/>\nThe unknown value is 12<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{?}{14}=\\frac{9}{7}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-31-300x98.jpg\" alt=\"Grade 6 Chapter 4 image 31\" width=\"300\" height=\"98\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-31-300x98.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-31.jpg 553w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n9\/7 \u00f7 7\/7 = 1.2857\/1<br \/>\n1.2857\/1 \u00d7 14\/14 = 18\/14<br \/>\nThe unknown value is 18<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{3}{?}=\\frac{2}{1.25}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n1.875<\/p>\n<p>Explanation:<br \/>\n2\/1.25 \u00f7 1.25\/1.25 = 1.6\/1<br \/>\n1.6\/1 \u00d7 1.875\/1.875 = 3\/1.875<br \/>\nThe unknown value is 1.875<\/p>\n<p>Question 11.<br \/>\nCommunicate Explain how to find an unknown value in a ratio by using a unit rate.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nFirstly, Identify the known ratio, where both values are known. Then, Identify the ratio with one known value and one unknown value. Next, Use the two ratios to create a proportion. Finally, Cross-multiply to solve the problem.<\/p>\n<p>Question 12.<br \/>\nSavannah is tiling her kitchen floor. She bought 8 cases of tile for $192. She realizes she bought too much tile and returns 2 unopened cases to the store. What was her final cost for tile?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$144<\/p>\n<p>Explanation:<br \/>\nSavannah is tiling her kitchen floor. She bought 8 cases of tile for $192.<br \/>\n$192\/8 \u00f7 8\/8 = $24 per each case of tile<br \/>\nShe realizes she bought too much tile and returns 2 unopened cases to the store.<br \/>\nSo, she bought 8 &#8211; 2 = 6 cases of tiles.<br \/>\n6 \u00d7 $24 = $144<\/p>\n<h3><a id=\"Use_Unit_Rates_\u2013_Page_No._252\"><\/a>Problem Solving + Applications &#8211; Page No. 251<\/h3>\n<p><strong>Pose a Problem<\/strong><\/p>\n<p>Question 13.<br \/>\nJosie runs a T-shirt printing company. The table shows the length and width of four sizes of T-shirts. The measurements of each size T-shirt form equivalent ratios.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4980\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-36.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 36\" width=\"302\" height=\"380\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-36.jpg 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-36-238x300.jpg 238w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nWhat is the length of an extra-large T-shirt?<br \/>\nWrite two equivalent ratios and find the unknown value:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4981\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-37.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 37\" width=\"417\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-37.jpg 417w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-37-300x75.jpg 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><br \/>\nThe length of an extra-large T-shirt is 36 inches.<br \/>\nWrite a problem that can be solved by using the information in the table and could be solved by using equivalent ratios<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nSmall = 27\/18 \u00f7 18\/18 = 1.5<br \/>\nMedium = 30\/20 = 3\/2 = 1.5<br \/>\nLarge = 1.5\/1 \u00d7 22\/22 = 33\/22<br \/>\nthe length of an extra-large T-shirt = 1.5\/1 \u00d7 24\/24 = 36\/24<br \/>\nWhat is the length of an large T-shirt?<br \/>\nWrite two equivalent ratios and find the unknown value?<br \/>\nLarge = 1.5\/1 \u00d7 22\/22 = 33\/22<br \/>\n33\/22 \u00d7 2\/2 = 66\/44<br \/>\n33\/22 \u00d7 3\/3 = 99\/66<\/p>\n<p>Question 14.<br \/>\nPeri earned $27 for walking her neighbor\u2019s dog 3 times. If Peri earned $36, how many times did she walk her neighbor\u2019s dog? Use a unit rate to find the unknown value.<br \/>\n_____ times<\/p>\n<p>Answer:<br \/>\n4 times<\/p>\n<p>Explanation:<br \/>\nPeri earned $27 for walking her neighbor\u2019s dog 3 times.<br \/>\nIf Peri earned $36, ($36 \u00d7 3)\/$27 = 4<\/p>\n<h3><a id=\"Use_Unit_Rates_\u2013_Page_No._253\"><\/a>Use Unit Rates &#8211; Page No. 253<\/h3>\n<p><strong>Use a unit rate to find the unknown value.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{34}{7}=\\frac{?}{7}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n34<\/p>\n<p>Explanation:<br \/>\n34\/7 \u00f7 7\/7 = 4.8571\/1<br \/>\n4.8571\/1 \u00d7 7\/7 = 34<br \/>\nThe unknown value is 34<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{16}{32}=\\frac{?}{14}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n7<\/p>\n<p>Explanation:<br \/>\n16\/32 \u00f7 32\/32 = 0.5\/1<br \/>\n0.5\/1 \u00d7 14\/14 = 7\/1<br \/>\nThe unknown value is 7<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{18}{?}=\\frac{21}{7}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n6<\/p>\n<p>Explanation:<br \/>\n21\/7 \u00f7 7\/7 = 3\/1<br \/>\n3\/1 \u00d7 6\/6 = 18\/6<br \/>\nThe unknown value is 6<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{?}{16}=\\frac{3}{12}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n4<\/p>\n<p>Explanation:<br \/>\n3\/12 \u00f7 12\/12 = 0.25\/1<br \/>\n0.25\/1 \u00d7 16\/16 = 4<br \/>\nThe unknown value is 4<\/p>\n<p><strong>Draw a bar model to find the unknown value.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{15}{45}=\\frac{6}{?}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-32.jpg\" alt=\"Grade 6 Chapter 4 image 32\" width=\"294\" height=\"158\" \/><br \/>\n18<\/p>\n<p>Explanation:<br \/>\n15\/45 \u00f7 45\/45 = 1\/3<br \/>\n1\/3 \u00d7 6\/6 = 6\/18<br \/>\nThe unknown value is 18<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{3}{6}=\\frac{?}{7}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-33-300x162.jpg\" alt=\"Grade 6 Chapter 4 image 33\" width=\"300\" height=\"162\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-33-300x162.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-33.jpg 304w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n3.5<\/p>\n<p>Explanation:<br \/>\n3\/6 \u00f7 6\/6 = 1\/2<br \/>\n1\/2 \u00d7 3.5\/3.5 = 3.5\/7<br \/>\nThe unknown value is 3.5<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 7.<br \/>\nTo stay properly hydrated, a person should drink 32 fluid ounces of water for every 60 minutes of exercise. How much water should Damon drink if he rides his bike for 135 minutes?<br \/>\n_____ fluid ounces<\/p>\n<p>Answer:<br \/>\n72 fluid ounces<\/p>\n<p>Explanation:<br \/>\nTo stay properly hydrated, a person should drink 32 fluid ounces of water for every 60 minutes of exercise.<br \/>\nIf he rides his bike for 135 minutes, (135 \u00d7 32)\/60 = 72<\/p>\n<p>Question 8.<br \/>\nLillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets, how many did she make?<br \/>\n_____ baskets<\/p>\n<p>Answer:<br \/>\n15 baskets<\/p>\n<p>Explanation:<br \/>\nLillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets,<br \/>\n(25 \u00d7 6)\/10 = 15 baskets<\/p>\n<p>Question 9.<br \/>\nGive some examples of real-life situations in which you could use unit rates to solve an equivalent ratio problem.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1) If a 10-ounce box of cereal costs $3 and a 20-ounce box of cereal costs $5, the 20 ounce box is the better value because each ounce of cereal is cheaper.<br \/>\n2) Yoda Soda is the intergalactic party drink that will have all your friends saying, &#8220;Mmmmmm, good this is!&#8221;<br \/>\nYou are throwing a party, and you need 555 liters of Yoda Soda for every 121212 guests.<br \/>\nIf you have 363636 guests, how many liters of Yoda Soda do you need?<\/p>\n<h3><a id=\"Use_Unit_Rates_Lesson_Check_\u2013_Page_No._254\"><\/a>Lesson Check &#8211; Page No. 254<\/h3>\n<p>Question 1.<br \/>\nRandi\u2019s school requires that there are 2 adult chaperones for every 18 students when the students go on a field trip to the museum. If there are 99 students going to the museum, how many adult chaperones are needed?<br \/>\n_____ chaperones<\/p>\n<p>Answer:<br \/>\n11 chaperones<\/p>\n<p>Explanation:<br \/>\nRandi\u2019s school requires that there are 2 adult chaperones for every 18 students when the students go on a field trip to the museum.<br \/>\nIf there are 99 students going to the museum, (99 \u00d7 2)\/18 = 11 chaperones<\/p>\n<p>Question 2.<br \/>\nLandry\u2019s neighbor pledged $5.00 for every 2 miles he swims in a charity swim-a-thon. If Landry swims 3 miles, how much money will his neighbor donate?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$7.5<\/p>\n<p>Explanation:<br \/>\nLandry\u2019s neighbor pledged $5.00 for every 2 miles he swims in a charity swim-a-thon. If Landry swims 3 miles, 15\/2 = $7.5<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nDescribe a situation that could be represented by \u20138.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nIn Alaska the normal temperature in December was 3 degrees. Scientist predicted that by February the temperature would drop 11 degrees. What is the predicted temperature for February? The answer is -8.<\/p>\n<p>Question 4.<br \/>\nWhat are the coordinates of point G?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4982\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-38.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 38\" width=\"319\" height=\"280\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-38.jpg 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-38-300x263.jpg 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(-2, 0.5)<\/p>\n<p>Explanation:<br \/>\nThe x-coordinate is -2<br \/>\nThe y-coordinate is 0.5<\/p>\n<p>Question 5.<br \/>\nGina bought 6 containers of yogurt for $4. How many containers of yogurt could Gina buy for $12?<br \/>\n_____ containers<\/p>\n<p>Answer:<br \/>\n18 containers<\/p>\n<p>Explanation:<br \/>\nGina bought 6 containers of yogurt for $4.<br \/>\nFor $12, ($12 \u00d7 6)\/$4 = 18<\/p>\n<p>Question 6.<br \/>\nA bottle containing 64 fluid ounces of juice costs $3.84. What is the unit rate?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.06<\/p>\n<p>Explanation:<br \/>\nA bottle containing 64 fluid ounces of juice costs $3.84.<br \/>\n$3.84\/64 = $0.06<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Graphs_\u2013_Page_No._257\"><\/a>Share and Show &#8211; Page No. 257<\/h3>\n<p><strong>A redwood tree grew at a rate of 4 feet per year. Use this information for 1\u20133.<\/strong><\/p>\n<p>Question 1.<br \/>\nComplete the table of equivalent ratios for the first 5 years.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4983\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-39.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 39\" width=\"457\" height=\"102\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-39.jpg 457w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-39-300x67.jpg 300w\" sizes=\"(max-width: 457px) 100vw, 457px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-34-300x76.jpg\" alt=\"Grade 6 Chapter 4 image 34\" width=\"300\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-34-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-34.jpg 524w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nA redwood tree grew at a rate of 4 feet per year.<br \/>\nFor 2 years, 2 \u00d7 4 = 8ft<br \/>\nFor 3 years, 3 \u00d7 4 = 12ft<br \/>\nFor 4 years, 4 \u00d7 4 = 16ft<br \/>\nFor 5 years, 5 \u00d7 4 = 20ft<\/p>\n<p>Question 2.<br \/>\nWrite ordered pairs, letting the x-coordinate represent time in years and the y-coordinate represent height in feet.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(1, 4), (2, 8), (3, 12), (4, 16), (5, 20)<\/p>\n<p>Question 3.<br \/>\nUse the ordered pairs to graph the tree\u2019s growth over time.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-35-300x238.jpg\" alt=\"Grade 6 Chapter 4 image 35\" width=\"300\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-35-300x238.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-35.jpg 376w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>The graph shows the rate at which Luis\u2019s car uses gas, in miles per gallon. Use the graph for 4\u20138.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4984\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-40.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 40\" width=\"273\" height=\"269\" \/><\/p>\n<p>Question 4.<br \/>\nComplete the table of equivalent ratios.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n30\/1, 60\/2, 90\/3, 120\/4, 150\/5<\/p>\n<p>Question 5.<br \/>\nFind the car\u2019s unit rate of gas usage.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n30mi\/gal<\/p>\n<p>Question 6.<br \/>\nHow far can the car go on 5 gallons of gas?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n150 miles<\/p>\n<p>Explanation:<br \/>\nthe car go on 5 gallons of gas, 150\/5<\/p>\n<p>Question 7.<br \/>\nEstimate the amount of gas needed to travel 50 miles.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5\/3<\/p>\n<p>Explanation:<br \/>\n30\/1,<br \/>\n50\/30 = 5\/3<\/p>\n<p>Question 8.<br \/>\nEllen\u2019s car averages 35 miles per gallon of gas. If you used equivalent ratios to graph her car\u2019s gas usage, how would the graph differ from the graph of Luis\u2019s car\u2019s gas usage?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-36-300x242.jpg\" alt=\"Grade 6 Chapter 4 image 36\" width=\"300\" height=\"242\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-36-300x242.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-36.jpg 323w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThe distance is high for Ellen\u2019s car\u2019s gas usage compared to Luis\u2019s car\u2019s gas usage per one gal<\/p>\n<p>Explanation:<br \/>\n35\/1 \u00d7 2\/2 = 70\/2<br \/>\n35\/1 \u00d7 3\/3 = 105\/3<br \/>\n35\/1 \u00d7 4\/4 = 140\/4<br \/>\n35\/1 \u00d7 5\/5 = 175\/5<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Graphs_\u2013_Page_No._258\"><\/a>Problem Solving + Applications &#8211; Page No. 258<\/h3>\n<p>Question 9.<br \/>\nLook for Structure The graph shows the depth of a submarine over time. Use equivalent ratios to find the number of minutes it will take the submarine to descend 1,600 feet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4985\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-41.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 41\" width=\"271\" height=\"274\" \/><br \/>\n_____ minutes<\/p>\n<p>Answer:<br \/>\n8 minutes<\/p>\n<p>Explanation:<br \/>\n200\/1 \u00d7 8\/8 = 1600\/8<\/p>\n<p>Question 10.<br \/>\nThe graph shows the distance that a plane flying at a steady rate travels over time. Use equivalent ratios to find how far the plane travels in 13 minutes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4986\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-42.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 42\" width=\"246\" height=\"276\" \/><br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n91 miles<\/p>\n<p>Explanation:<br \/>\n7\/1 \u00d7 13\/13 = 91\/13<\/p>\n<p>Question 11.<br \/>\nSense or Nonsense? Emilio types at a rate of 84 words per minute. He claims that he can type a 500-word essay in 5 minutes. Is Emilio\u2019s claim sense or nonsense? Use a graph to help explain your answer.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nHe said that he can write 84 in 60sec ,500 words will be written in 500\u00d760\/84=357 it&#8217;s a nonsense<\/p>\n<p>Question 12.<br \/>\nThe Tuckers drive at a rate of 20 miles per hour through the mountains. Use the ordered pairs to graph the distance traveled over time.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4987\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-43.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 43\" width=\"372\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-43.jpg 372w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-43-300x61.jpg 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-37-300x229.jpg\" alt=\"Grade 6 Chapter 4 image 37\" width=\"300\" height=\"229\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-37-300x229.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-37.jpg 336w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Equivalent_Ratios_and_Graphs_\u2013_Page_No._259\"><\/a>Equivalent Ratios and Graphs &#8211; Page No. 259<\/h3>\n<p><strong>Christie makes bracelets. She uses 8 charms for each bracelet. Use this information for 1\u20133.<\/strong><\/p>\n<p>Question 1.<br \/>\nComplete the table of equivalent ratios for the first 5 bracelets.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-38-300x72.jpg\" alt=\"Grade 6 Chapter 4 image 38\" width=\"300\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-38-300x72.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-38.jpg 350w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<\/p>\n<p>Question 2.<br \/>\nWrite ordered pairs, letting the x-coordinate represent the number of bracelets and the y-coordinate represent the number of charms.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(1, 8), (2, 16), (3, 24), (4, 32), (5, 40)<\/p>\n<p>Question 3.<br \/>\nUse the ordered pairs to graph the charms and bracelets.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-39-298x300.jpg\" alt=\"Grade 6 Chapter 4 image 39\" width=\"298\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-39-298x300.jpg 298w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-39-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-39.jpg 305w\" sizes=\"(max-width: 298px) 100vw, 298px\" \/><\/p>\n<p><strong>The graph shows the number of granola bars that are in various numbers of boxes of Crunch N Go. Use the graph for 4\u20135.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4988\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-44.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 44\" width=\"341\" height=\"362\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-44.jpg 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-44-283x300.jpg 283w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><\/p>\n<p>Question 4.<br \/>\nComplete the table of equivalent ratios.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-45.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 45\" width=\"416\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-45.jpg 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-45-300x61.jpg 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-40-300x77.jpg\" alt=\"Grade 6 Chapter 4 image 40\" width=\"300\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-40-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-40.jpg 350w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\nFind the unit rate of granola bars per box.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n10 bars\/1 box<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\nLook at the graph for Christie\u2019s Bracelets. How many charms are needed for 7 bracelets?<br \/>\n_____ charms<\/p>\n<p>Answer:<br \/>\n56 charms<\/p>\n<p>Question 7.<br \/>\nLook at the graph for Crunch N Go Granola Bars. Stefan needs to buy 90 granola bars. How many boxes must he buy?<br \/>\n_____ boxes<\/p>\n<p>Answer:<br \/>\n9 boxes<\/p>\n<p>Question 8.<br \/>\nChoose a real-life example of a unit rate. Draw a graph of the unit rate. Then explain how another person could use the graph to find the unit rate.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nSam prepares 4 bracelets per month. How many bracelets does she prepare in a span of 6 months?<br \/>\nFor 1 month, 1 \u00d7 4 = 4 bracelets<br \/>\nFor 2 months, 2 \u00d7 4 = 8 bracelets<br \/>\nFor 3 months, 3 \u00d7 4 = 12 bracelets<br \/>\nFor 4 months, 4 \u00d7 4 = 16 bracelets<br \/>\nFor 5 months, 5 \u00d7 4 = 20 bracelets<\/p>\n<h3><a id=\"Equivalent_Ratios_and_Graphs_Lesson_Check_\u2013_Page_No._260\"><\/a>Lesson Check &#8211; Page No. 260<\/h3>\n<p>Question 1.<br \/>\nA graph shows the distance a car traveled over time. The x-axis represents time in hours, and the y-axis represents distance in miles. The graph contains the point (3, 165). What does this point represent?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nIn 3 hours the car traveled 165 miles.<br \/>\n(3,165) is (x,y) so 3 = x and 165 = y, and<br \/>\n3=x=time in hours<br \/>\n165=y= miles&#8230;. soooo<br \/>\nIn 3 hours the car traveled 165 miles<\/p>\n<p>Question 2.<br \/>\nMaura charges $11 per hour to babysit. She makes a graph comparing the amount she charges (the y-coordinate) to the time she babysits (the x-coordinate). Which ordered pair shown is NOT on the graph?<br \/>\n(4, 44) (11, 1) (1, 11) (11, 12)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(11, 1)<\/p>\n<p>Explanation:<br \/>\nIt is not 11,1 because she charges 11 hours per hour (y coordinate) and x would be time to babysit. so it can&#8217;t be 11,1<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nList 0, \u20134, and 3 from least to greatest.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n-4, 0, 3<\/p>\n<p>Question 4.<br \/>\nWhat two numbers can be used in place of the ? to make the statement true?<br \/>\n|?| = \\(\\frac{8}{9}\\)<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n&#8211;\\(\\frac{8}{9}\\), \\(\\frac{8}{9}\\)<\/p>\n<p>Explanation:<br \/>\n|-\\(\\frac{8}{9}\\)| = \\(\\frac{8}{9}\\)<br \/>\n|\\(\\frac{8}{9}\\)| = \\(\\frac{8}{9}\\)<\/p>\n<p>Question 5.<br \/>\nMorgan plots the point (4, \u20137) on a coordinate plane. If she reflects the point across the y-axis, what are the coordinates of the reflected point?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n(-4, -7)<\/p>\n<p>Explanation:<br \/>\nMorgan plots the point (4, \u20137) on a coordinate plane. If she reflects the point across the y-axis, it will be (-4, -7)<\/p>\n<p>Question 6.<br \/>\nJonathan drove 220 miles in 4 hours. Assuming he drives at the same rate, how far will he travel in 7 hours?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n385 miles<\/p>\n<p>Explanation:<br \/>\nJonathan drove 220 miles in 4 hours.<br \/>\nIf he travel in 7 hours, (7 \u00d7 220)\/4 = 385 miles<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._261\"><\/a>Chapter 4 Review\/Test &#8211; Page No. 261<\/h3>\n<p>Question 1.<br \/>\nKendra has 4 necklaces, 7 bracelets, and 5 rings. Draw a model to show the ratio that compares rings to bracelets<br \/>\nType below:___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-41-300x89.jpg\" alt=\"Grade 6 Chapter 4 image 41\" width=\"300\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-41-300x89.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-41.jpg 380w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nThere are 3 girls and 2 boys taking swimming lessons. Write the ratio that compares the girls taking swimming lessons to the total number of students taking swimming lessons.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3 : 5<\/p>\n<p>Explanation:<br \/>\nThere are 3 girls and 2 boys taking swimming lessons.<br \/>\nthe total number of students taking swimming lessons = 5<br \/>\n3 : 5<\/p>\n<p>Question 3.<br \/>\nLuis adds 3 strawberries for every 2 blueberries in his fruit smoothie. Draw a model to show the ratio that compares strawberries to blueberries.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-42.jpg\" alt=\"Grade 6 Chapter 4 image 42\" width=\"299\" height=\"114\" \/><\/p>\n<p>Question 4.<br \/>\nWrite the ratio 3 to 10 in two different ways.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n3\/10, 3 : 10<\/p>\n<p>Question 5.<br \/>\nAlex takes 3 steps every 5 feet he walks. As Alex continues walking, he takes more steps and walks a longer distance. Complete the table by writing two equivalent ratios.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-46.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 46\" width=\"333\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-46.jpg 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-46-300x99.jpg 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-43.jpg\" alt=\"Grade 6 Chapter 4 image 43\" width=\"278\" height=\"113\" \/><\/p>\n<p>Explanation:<br \/>\nAlex takes 3 steps every 5 feet he walks. As Alex continues walking, he takes more steps and walks a longer distance.<br \/>\n3\/5 \u00d7 2\/2 = 6\/10<br \/>\n3\/5 \u00d7 3\/3 = 9\/15<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._262\"><\/a>Page No. 262<\/h3>\n<p>Question 6.<br \/>\nSam has 3 green apples and 4 red apples. Select the ratios that compare the number of red apples to the total number of apples. Mark all that apply.<br \/>\nOptions:<br \/>\na. 4 to 7<br \/>\nb. 3 to 7<br \/>\nc. 4 : 7<br \/>\nd. 4 : 3<br \/>\ne. \\(\\frac{3}{7}\\)<br \/>\nf. \\(\\frac{4}{7}\\)<\/p>\n<p>Answer:<br \/>\na. 4 to 7<br \/>\nc. 4 : 7<br \/>\nf. \\(\\frac{4}{7}\\)<\/p>\n<p>Explanation:<br \/>\nSam has 3 green apples and 4 red apples.<br \/>\nthe total number of apples = 3 + 4 = 7<br \/>\n4 : 7<\/p>\n<p>Question 7.<br \/>\nJeff ran 2 miles in 12 minutes. Ju Chan ran 3 miles in 18 minutes. Did Jeff and Ju Chan run the same number of miles per minute? Complete the tables of equivalent ratios to support your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-47.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 47\" width=\"557\" height=\"322\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-47.jpg 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-47-300x173.jpg 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-44-300x181.jpg\" alt=\"Grade 6 Chapter 4 image 44\" width=\"300\" height=\"181\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-44-300x181.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-44.jpg 467w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n2\/12 \u00d7 2\/2 = 4\/24<br \/>\n2\/12 \u00d7 3\/3 = 6\/39<br \/>\n2\/12 \u00d7 4\/4 = 8\/48<br \/>\n3\/18 \u00d7 2\/2 = 6\/36<br \/>\n3\/18 \u00d7 3\/3 = 9\/24<br \/>\n3\/18 \u00d7 4\/4 = 12\/72<\/p>\n<p>Question 8.<br \/>\nJen bought 2 notebooks for $10. Write the rate as a fraction. Then find the unit rate.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n$10\/2<br \/>\nunit rate = $5<\/p>\n<p>Explanation:<br \/>\nJen bought 2 notebooks for $10.<br \/>\n$10\/2 \u00f7 2\/2 = $5<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._263\"><\/a>Page No. 263<\/h3>\n<p>Question 9.<br \/>\nDetermine whether each ratio is equivalent to \\(\\frac{1}{2}, \\frac{2}{3}, \\text { or } \\frac{4}{7}\\). Write the ratio in the correct box.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-48.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 48\" width=\"599\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-48.jpg 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-48-300x38.jpg 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-45-300x163.jpg\" alt=\"Grade 6 Chapter 4 image 45\" width=\"300\" height=\"163\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-45-300x163.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-45.jpg 444w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n1\/2 \u00d7 2\/2 = 4\/8<br \/>\n7\/14 \u00f7 2\/2 = 1\/2<br \/>\n20\/35 \u00f7 5\/5 = 4\/7<br \/>\n40\/80 \u00f7 40\/40 = 1\/2<br \/>\n8\/14 \u00f7 2\/2 = 4\/7<br \/>\n4\/6 \u00f7 2\/2 = 2\/3<br \/>\n8\/12 \u00f7 4\/4 = 2\/3<\/p>\n<p>Question 10.<br \/>\nAmos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24? Show your work.<br \/>\n_____ cantaloupes<\/p>\n<p>Answer:<br \/>\n15 cantaloupes<\/p>\n<p>Explanation:<br \/>\nAmos bought 5 cantaloupes for $8.<br \/>\nFor $24, ($24 \u00d7 5)\/$8 = 15<\/p>\n<p>Question 11.<br \/>\nCamille said \\(\\frac{4}{5}\\) is equivalent to \\(\\frac{24}{30}\\). Check her work by making a table of equivalent ratios.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-46-300x62.jpg\" alt=\"Grade 6 Chapter 4 image 46\" width=\"300\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-46-300x62.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-46.jpg 533w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 12.<br \/>\nA box of oat cereal costs $3.90 for 15 ounces. A box of rice cereal costs $3.30 for 11 ounces. Which box of cereal costs less per ounce? Use numbers and words to explain your answer.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nA box of oat cereal costs $3.90 for 15 ounces.<br \/>\n$3.90\/15 = $0.26<br \/>\nA box of rice cereal costs $3.30 for 11 ounces.<br \/>\n$3.30\/11 = $0.3<br \/>\n$0.26 &lt; $0.3<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._264\"><\/a>Page No. 264<\/h3>\n<p>Question 13.<br \/>\nScotty earns $35 for babysitting for 5 hours. If Scotty charges the same rate, how many hours will it take him to earn $42?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n6 hours<\/p>\n<p>Explanation:<br \/>\nScotty earns $35 for babysitting for 5 hours<br \/>\nFor $42, (42 \u00d7 5)\/35 = 6<\/p>\n<p>Question 14.<br \/>\nUse a unit rate to find the unknown value.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-49.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 49\" width=\"175\" height=\"137\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-7489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-47.jpg\" alt=\"Grade 6 Chapter 4 image 47\" width=\"152\" height=\"126\" \/><\/p>\n<p>Explanation:<br \/>\n(9 \u00d7 42)\/14 = 3<\/p>\n<p>Question 15.<br \/>\nJenna saves $3 for every $13 she earns. Vanessa saves $6 for every $16 she earns. Is Jenna&#8217;s ratio of money saved to money earned equivalent to Vanessa&#8217;s ratio of money saved to money earned?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nNo, 3\/13 = 6\/26. Vanessa ratio is 6\/16<\/p>\n<p>Question 16.<br \/>\nThe Hendersons are on their way to a national park. They are traveling at a rate of 40 miles per hour. Use the ordered pairs to graph the distance traveled over time<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-50.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 50\" width=\"651\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-50.jpg 651w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-50-300x35.jpg 300w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-48-300x286.jpg\" alt=\"Grade 6 Chapter 4 image 48\" width=\"300\" height=\"286\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-48-300x286.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-48.jpg 339w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._265\"><\/a>Page No. 265<\/h3>\n<p>Question 17.<br \/>\nAbby goes to the pool to swim laps. The graph shows how far Abby swam over time. Use equivalent ratios to find how far Abby swam in 7 minutes<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-51.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 51\" width=\"388\" height=\"379\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-51.jpg 388w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-51-300x293.jpg 300w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><br \/>\n_____ meters<\/p>\n<p>Answer:<br \/>\n350 meters<\/p>\n<p>Explanation:<br \/>\n50\/1 \u00d7 7\/7 = 350\/7<\/p>\n<p>Question 18.<br \/>\nCaleb bought 6 packs of pencils for $12.<br \/>\nPart A<br \/>\nHow much will he pay for 9 packs of pencils? Use numbers and words to explain your answer<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$18<\/p>\n<p>Explanation:<br \/>\nCaleb bought 6 packs of pencils for $12.<br \/>\n6\/12 = 1\/2 \u00d7 9\/9 = 9\/18<br \/>\nSo, $18 is the answer<\/p>\n<p>Question 18.<br \/>\nPart B<br \/>\nDescribe how to use a bar model to solve the problem.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nTake the known ratio and identify the unknown value using known ratio.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._266\"><\/a>Page No. 266<\/h3>\n<p>Question 19.<br \/>\nA rabbit runs 35 miles per hour. Select the animals who run at a faster unit rate per hour than the rabbit. Mark all that apply.<br \/>\nOptions:<br \/>\na. Reindeer: 100 miles in 2 hours<br \/>\nb. Ostrich: 80 miles in 2 hours<br \/>\nc. Zebra: 90 miles in 3 hours<br \/>\nd. Squirrel: 36 miles in 3 hours<\/p>\n<p>Answer:<br \/>\na. Reindeer: 100 miles in 2 hours<br \/>\nb. Ostrich: 80 miles in 2 hours<\/p>\n<p>Explanation:<br \/>\nA rabbit runs 35 miles per hour.<br \/>\n35\/1<br \/>\n100\/2 = 50\/1<br \/>\n80\/2 = 40\/1<br \/>\n90\/3 = 30\/1<br \/>\n36\/3 = 12\/1<\/p>\n<p>Question 20.<br \/>\nWater is filling a bathtub at a rate of 3 gallons per minute.<br \/>\nPart A<br \/>\nComplete the table of equivalent ratios for the first five minutes of the bathtub filling up.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-4996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-52.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios 52\" width=\"707\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-52.jpg 707w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-4-Model-Ratios-52-300x47.jpg 300w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-50-300x55.jpg\" alt=\"Grade 6 Chapter 4 image 50\" width=\"300\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-50-300x55.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Grade-6-Chapter-4-image-50.jpg 579w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 20.<br \/>\nPart B<br \/>\nEmily said there will be 36 gallons of water in the bathtub after 12 minutes. Explain how Emily could have found her answer<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nEmily said there will be 36 gallons of water in the bathtub after 12 minutes.<br \/>\n36\/12 \u00f7 12\/12 = 3\/1<br \/>\nShe can find the answer using the unit rate.<\/p>\n<h3>Conclusion:<\/h3>\n<p>Hope the solutions provided in Go Math Grade 6 Answer Key Chapter 4 Model Ratios helped you to enhance your math skills. Also, this Go Math Answer Key helps you to score the highest marks in the exam. Share this pdf link with your friends so that they can overcome the difficulties in maths. All the Best!!!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Model Ratios are an interesting topic in Grade 6.\u00a0 The students who are in search of Go Math Grade 6 Answer Key Chapter 4 Model Ratios can get them on this page. The best and quick way of learning is possible with Go Math Grade 6 Chapter 4 Model Ratios Answer Key. We have provided &#8230; <a title=\"Go Math Grade 6 Answer Key Chapter 4 Model Ratios\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-4-model-ratios\/\" aria-label=\"More on Go Math Grade 6 Answer Key Chapter 4 Model Ratios\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":8821,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-6-chapter-4-model-ratios-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4941"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=4941"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4941\/revisions"}],"predecessor-version":[{"id":92758,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4941\/revisions\/92758"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8821"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=4941"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=4941"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=4941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}