## Engage NY Eureka Math 6th Grade Module 1 Lesson 11 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 11 Example Answer Key

Example 1.
Create four equivalent ratios (2 by scaling up and 2 by scaling down) using the ratio 30 to 80.
Some examples of scaling down are 3: 8, 6: 16, 9: 24, 12: 32, 15: 40, 18: 48, 21: 56, 24: 64, and 27: 72.
Some examples of scaling up are 60: 160, 90: 240, 120: 320, etc.

Write a ratio to describe the relationship shown in the table.

 Hours Numbers of Pizzas Sold 2 16 5 40 6 48 10 80

The ratio used to create the table is 1:8, which means that there are 8 pizzas being sold every hour.

### Eureka Math Grade 6 Module 1 Lesson 11 Exercise Answer Key

Exercise 1
The following tables show how many words each person can text in a given amount of time. Compare the rates of texting for each person using the ratio table.

Michaela

Jenna

Maria

Michaela texts the fastest because she texts 50 words per minute, next is Jenna who texts 45 words per minute, and last is Maria who texts 40 words per minute.

Complete the table so that it shows Max has a texting rate of 55 words per minute.

Max

Exercise 2:
Making Juice (Comparing Juice to Water)

a. The tables below show the comparison of the amount of water to the amount of juice concentrate (JC) in grape juice made by three different people. Whose juice has the greatest water-to-juice concentrate ratio, and whose juice would taste strongest? Be sure to justify your answer.
Franca’s juice has the greatest amount of water in comparison to juice concentrate, followed by Milton, and then Laredo, Because Laredo’s juice has the least amount of water in comparison to juice concentrate, his juice would taste the strongest.

Put the juices in order from the juice containing the most water to the juice containing the least water.
Franca, Milton, Laredo

Explain how you used the values in the table to determine the order.
Laredo makes his juice by combining three cups of water for every one cup of juice concentrate.
Franca makes her juice by combining five cups of water for every one cup of juice concentrate.
Milton makes his juice by combining four cups of water for every one cup of juice concentrate.

What ratio was used to create each table?
Laredo 3: 1, Franca 5: 1, Milton 4: 1

b. The next day, each of the three people made juice again, but this time they were making apple juice. Whose juice has the greatest water-to-juice concentrate ratio, and whose juice would taste the strongest? Be sure to justify your answer.

Put the Juices in order from the strongest apple taste to the weakest apple taste.
Franca, Milton, Laredo

Explain how you used the values in the table to determine the order.

What ratio was used to create each table?
Laredo: 6: 1, Franca: 5: 2, Milton: 8: 3

How was this problem different than the grape juice questions in part (a)?

c. Max and Sheila are making orange juice. Max has mixed 15 cups of water with 4 cups of juice concentrate. Sheila has made her juice by mixing 8 cups water with 3 cups of juice concentrate. Compare the ratios of juice concentrate to water using ratio tables. State which beverage has a higher juice concentrate-to-water ratio.

Sheila has a higher juice concentrate-to-water ratio because she mixed 12 cups of juice concentrate to only 32 cups of water. Max’s juice would be more watery because he would have 45 cups of water with the 12 cups of juice concentrate.

d. Victor is making recipes for smoothies. His first recipe calls for 2 cups of strawberries and 7 cups of other ingredients. His second recipe says that 3 cups of strawberries are combined with 9 cups of other Ingredients. Which smoothie recipe has more strawberries compared to other ingredients? Use ratio tables to justify your answer.
Recipe 2 has more strawberries compared to other ingredients.

Recipe 2 has more strawberries compared to the other ingredients. When comparing 6 cups of strawberries, there were fewer other ingredients added in Recipe 2 than in Recipe 1.

### Eureka Math Grade 6 Module 1 Lesson 11 Problem Set Answer Key

Question 1.
Sarah and Eva were swimming.
a. Use the ratio tables below to determine who the faster swimmer is.

Sarah

Eva

Eva is the faster swimmer because she swims 26 meters in 1 minute, which is faster than Sarah who swims 25 meters in 1 minute.

Question 2.
A 120 lb. person would weigh about 20 lb. on the earth’s moon. A 150 lb. person would weigh about 28 lb. on lo, a moon of Jupiter. Use ratio tables to determine which moon would make a person weigh the most.
Answers will vary. A person on lo will weigh more than a person on our moon.

### Eureka Math Grade 6 Module 1 Lesson 11 Exit Ticket Answer Key

Question 1.
Beekeepers sometimes supplement the diet of honey bees with sugar water to help promote colony growth in the spring and help the bees survive through fall and winter months. The tables below show the amount of water and the amount of sugar used in the Spring and in the Fall.

Write a sentence that compares the ratios of the number of cups of sugar to the number of cups of water in each table.
The value of the ratio for the Spring sugar water is $$\frac{1.5}{1}$$, while the value of the ratio of the Fall sugar water is $$\frac{2}{1}$$. Therefore, the Fall sugar water mixture has more sugar mixed in for every cup of water added to the mixture than the Spring sugar water mixture.
Spring: $$\frac{6}{4}$$ = $$\frac{3}{2}$$ = $$\frac{1.5}{1}$$
Fall: $$\frac{4}{2}$$ = $$\frac{2}{1}$$