## Engage NY Eureka Math 6th Grade Module 1 Lesson 9 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 9 Example Answer Key

Example 1.

To make paper mache, the art teacher mixes water and flour. For every two cups of water, she needs to mix in three cups of flour to make the paste.

Find equivalent ratios for the ratio relationship 2 cups of water to 3 cups of flour. Represent the equivalent ratios in the table below:

Answer:

Example 2.

Javier has a new job designing websites. He is paid at a rate of $700 for every 3 pages of web content that he builds. Create a ratio table to show the total amount of money Javier has earned in ratio to the number of pages he has built.

Answer:

Javier is saving up to purchase a used car that costs $4,200. How many web pages will Javier need to build before he can pay for the car?

Answer:

Javier will need to build 18 web pages in order to pay for the car.

### Eureka Math Grade 6 Module 1 Lesson 9 Exercise Answer Key

Exercise 1.

Spraying plants with cornmeal juice is a natural way to prevent fungal growth on the plants. It is made by soaking cornmeal in water, using two cups of cornmeal for every nine gallons of water. Complete the ratio table to answer the questions that follow.

Answer:

Cups of Cornmeal | Gallons of Water |

2 | 9 |

4 | 18 |

6 | 27 |

8 | 36 |

10 | 45 |

a. How many cups of cornmeal should be added to 45 gallons of water?

Answer:

10 cups of cornmeal should be added t0 45 gallons of water.

b. Paul has only 8 cups of cornmeal. How many gallons of water should he add if he wants to make as much cornmeal juice as he can?

Answer:

Paul should add 36 gallons of water.

c. What can you say about the values of the ratios in the table?

Answer:

The values of the ratios are equivalent.

Exercise 2.

James is setting up a fish tank. He is buying a breed of goldfish that typically grows to be 12 inches long, It is recommended that there be 1 gallon of water for every inch of fish length in the tank. What is the recommended ratio of gallons of water per fully-grown goldfish in the tank?

Complete the ratio table to help answer the following questions:

Answer:

Number of Fish | Gallons of Water |

1 | 12 |

2 | 24 |

3 | 36 |

4 | 48 |

5 | 60 |

a. What size tank (in gallons) Is needed for James to have 5 full-grown goldfish?

Answer:

James needs a tank that holds 60 gallons of water in order to have 5 full-grown goldfish.

b. How many full-grown goldfish can go in a 40-gallon tank?

Answer:

3 full-grown goldfish can go in a 40-gallon tank.

c. What can you say about the values of the ratios in the table?

Answer:

The values of the ratios are equivalent.

### Eureka Math Grade 6 Module 1 Lesson 9 Problem Set Answer Key

Assume each of the following represents a table of equivalent ratios. Fill in the missing values. Then choose one of the tables, and create a real-world context for the ratios shown in the table.

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

### Eureka Math Grade 6 Module 1 Lesson 9 Exit Ticket Answer Key

Question 1.

A father and his young toddler are walking along the sidewalk. For every 3 steps the father takes, the son takes 5 steps just to keep up. What is the ratio of the number of steps the father takes to the number of steps the son takes? Add labels to the columns of the table, and place the ratio into the first row of data. Add equivalent ratios to build a ratio table.

Answer:

What can you say about the values of the ratios in the table?

Answer:

The values of the ratios in the table should all be equal since the ratios in the table are equivalent.