## Engage NY Eureka Math 6th Grade Module 1 Lesson 3 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 3 Exercise Answer Key

Exercise 1.

Write a one-sentence story problem about a ratio.

Answer:

Answers will vary. The ratio of the number of sunny days to the number of cloudy days in this town is 3: 1.

Write the ratio in two different forms.

Answer:

3: 1 and 3 to 1

Exercise 2.

Shanni and Mel are using ribbon to decorate a project in their art class. The ratio of the length of Shanni’s ribbon to the length of Mel’s ribbon is 7: 3.

Draw a tape diagram to represent this ratio.

Answer:

Exercise 3.

Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.

a. If Mason ran 4 miles, how far did Laney run? Draw a tape diagram to demonstrate how you found the answer.

Answer:

b. If Laney ran 930 meters, how far did Mason run? Draw a tape diagram to determine how you found the answer.

Answer:

c. What ratios can we say are equivalent to 2: 3?

Answer:

4: 6 and 620: 930

Exercise 4.

Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2: 9.

a. If Josie missed 8 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer.

Answer:

b. If Josie missed 20 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer.

Answer:

c. What ratios can we say are equivalent to 2: 9?

Answer:

8: 36 and 20: 90

d. Come up with another possible ratio of the number Josie got incorrect to the number she got correct.

Answer:

e. How did you find the numbers?

Answer:

Multiplied 5 × 2 and 5 × 9

f. Describe how to create equivalent ratios.

Answer:

Multiply both numbers of the ratio by the same number (any number you choose).

### Eureka Math Grade 6 Module 1 Lesson 3 Problem Set Answer Key

Question 1.

Write two ratios that are equivalent to 1: 1.

Answer:

Answers will vary. 2:2, 50: 50, etc.

Question 2.

Write two ratios that are equivalent to 3: 11.

Answer:

Answers will vary. 6:22, 9:33, etc.

Question 3.

a. The ratio of the width of the rectangle to the height of the rectangle is _______ to _______.

Answer:

The ratio of the width of the rectangle to the height of the rectangle is 9 to 4 .

b. If each square in the grid has a side length of 8 mm, what is the width and height of the rectangle?

Answer:

72 mm wide and 32 mm high

Question 4.

For a project in their health class, Jasmine and Brenda recorded the amount of milk they drank every day. Jasmine drank 2 pints of milk each day, and Brenda drank 3 pints of milk each day.

a. Write a ratio of the number of pints of milk Jasmine drank to the number of pints of milk Brenda drank each day.

Answer:

2: 3

b. Represent this scenario with tape diagrams.

Answer:

c. If one pint of milk Is equivalent to 2 cups of milk, how many cups of milk did Jasmine and Brenda each drink? How do you know?

Answer:

Jasmine drank 4 cups of milk, and Brenda drank 6 cups of milk. Since each pint represents 2 cups, I multiplied

Jasmine’s 2 pints by 2 and multiplied Brenda’s 3 pints by 2.

d. Write a ratio of the number of cups of milk Jasmine drank to the number of cups of milk Brenda drank.

Answer:

4: 6

e. Are the two ratios you determined equivalent? Explain why or why not.

Answer:

2: 3 and 4: 6 are equivalent because they represent the same value. The diagrams never changed, only the value of each unit in the diagram.

### Eureka Math Grade 6 Module 1 Lesson 3 Exit Ticket Answer Key

Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account.

Question 1.

Determine a ratio to describe the money in Pam’s account to the money in her brother’s account.

Answer:

2: 5

Question 2.

If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to support your answer.

Answer:

Question 3.

Record the equivalent ratio.

Answer:

40: 100

Question 4.

Create another possible ratio that describes the relationship between the amount of money in Pam’s account and the amount of money in her brother’s account.

Answer:

Answers will vary. 4: 10, 8: 20, etc.