## Engage NY Eureka Math 6th Grade Module 1 Lesson 12 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 12 Exercise Answer Key

Exercise 2.
The amount of sugary beverages Americans consume is a leading health concern. For a given brand of cola, a 12 oz. serving of cola contains about 40 g of sugar. Complete the ratio table, using the given ratio to find equivalent ratios.

Answers may vary but are found by either multiplying or dividing both 12 and 40 by the same number.

Exercise 3.
A 1 L bottle of cola contains approximately 34 fluid ounces. How many grams of sugar would be in a 1 L bottle of the cola? Explain and show how to arrive at the solution.

Exercise 4.
A school cafeteria has a restriction on the amount of sugary drinks available to students. Drinks may not have more than 25 g of sugar. Based on this restriction, what is the largest size cola (in ounces) the cafeteria can offer to students?

My estimate is between 6 and 12 oz. but closer to 6 ounces. I need to find $$\frac{1}{4}$$ of 6 and add it to 6.
$$\frac{1}{4} \times \frac{6}{1}=\frac{6}{4}=1 \frac{1}{2}$$
6 + 1$$\frac{1}{2}$$ = 7$$\frac{1}{2}$$
As 7$$\frac{1}{2}$$ oz. cola is the largest size that the school cafeteria can offer to students.

Exercise 5.
Shontelle solves three math problems in four minutes.
a. Use this information to complete the table below.

b. Shontelle has soccer practice on Thursday evening. She has a half hour before practice to work on her math homework and to talk to her friends. She has 20 math skill-work questions for homework, and she wants to complete them before talking with her friends. How many minutes will Shontelle have left after completing her math homework to talk to her friends?
Use a double number line diagram to support your answer, and show all work.

Step 1: $$\frac{2}{3} \times 4=\frac{8}{3}=2 \frac{2}{3}$$
Step 2: $$24+2 \frac{2}{3}=26 \frac{2}{3}$$
Step 3: $$30-26 \frac{2}{3}=3 \frac{1}{3}$$
Shontelle can talk to her friends for 3$$\frac{1}{3}$$ minutes.

### Eureka Math Grade 6 Module 1 Lesson 12 Problem Set Answer Key

Question 1.
While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges$5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn \$52.25 to buy the dress. Use a double number line to support your answer.
9.5 hours

Question 2.
Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer.