Eureka Math Grade 7 Module 1 Lesson 13 Answer Key

Engage NY Eureka Math 7th Grade Module 1 Lesson 13 Answer Key

Eureka Math Grade 7 Module 1 Lesson 13 Example Answer Key

Example 1.
A group of 6 hikers are preparing for a one-week trip. All of the group’s supplies will be carried by the hikers in backpacks. The leader decides that each hiker will carry a backpack that is the same fraction of weight to all of the other hikers’ weights. This means that the heaviest hiker would carry the heaviest load. The table below shows the weight of each hiker and the weight of the backpack.
Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.
Engage NY Math 7th Grade Module 1 Lesson 13 Example Answer Key 1
Answer:
Engage NY Math 7th Grade Module 1 Lesson 13 Example Answer Key 2

Value of the ratio of backpack weight to hiker weight:
Engage NY Math 7th Grade Module 1 Lesson 13 Example Answer Key 3

Equations:
Backpack weight (pounds): B
Hiker’s weight (pounds): H
B = \(\frac{2}{21}\) H
B = \(\frac{2}{21}\) (129 \(\frac{15}{16}\) )
B = 12\(\frac{3}{8}\)

Example 2.
When a business buys a fast food franchise, it is buying the recipes used at every restaurant with the same name. For example, all Pizzeria Specialty House Restaurants have different owners, but they must all use the same recipes for their pizza, sauce, bread, etc. You are now working at your local Pizzeria Specialty House Restaurant, and listed below are the amounts of meat used on one meat-lovers pizza.
\(\frac{1}{4}\) cup of sausage
\(\frac{1}{3}\) cup of pepperoni
\(\frac{1}{6}\) cup of bacon
\(\frac{1}{8}\) cup of ham
\(\frac{1}{8}\) cup of beef

What is the total amount of toppings used on a meat-lovers pizza? __ cup(s)
Answer:
1

The meat must be mixed using this ratio to ensure that customers receive the same great tasting meat-lovers pizza from every Pizzeria Specialty House Restaurant nationwide. The table below shows 3 different orders for meat-lovers pizzas on the night of the professional football championship game. Using the amounts and total for one pizza given above, fill in every row and column of the table so the mixture tastes the same.
Engage NY Math 7th Grade Module 1 Lesson 13 Example Answer Key 20
Answer:
Engage NY Math 7th Grade Module 1 Lesson 13 Example Answer Key 20.1

Eureka Math Grade 1 Module 1 Lesson 13 Exercise Answer Key

The table below shows 6 different-sized pans that could be used to make macaroni and cheese. If the ratio of ingredients stays the same, how might the recipe be altered to account for the different-sized pans?

Eureka Math Grade 7 Module 1 Lesson 13 Exercise Answer Key 21
Answer:
Eureka Math Grade 7 Module 1 Lesson 13 Exercise Answer Key 21.1

Method 1: Equations
Find the constant rate. To do this, use the row that gives both quantities, not the total. To find the unit rate:
Eureka Math Grade 7 Module 1 Lesson 13 Exercise Answer Key 22
Write the equation of the relationship. c = \(\frac{1}{4}\) n, where c represents the cups of cheese and n represents the cups of noodles.
Eureka Math Grade 7 Module 1 Lesson 13 Exercise Answer Key 23

Method 2: Proportions
Find the constant rate as described in Method 1.
Set up proportions.
y represents the number of cups of cheese, and x represents the number of cups of noodles.
Eureka Math Grade 1 Module 1 Lesson 13 Exercise Answer Key 24

Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key

Question 1.
Students in 6 classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete the following table, which represents the number of slices of pizza students in each class ate.
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 50
Answer:
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 51

Question 2.
To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint.
a. Complete the table.
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 52
Answer:
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 53

b. Write an equation to represent the relationship between the amount of yellow paint and blue paint.
Answer:
B = 1.5Y

Question 3.
The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table.
a. Complete the table.
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 54
Answer:
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 55

b. What is the relationship between distances biked and distances run?
Answer:
The distances biked were twice as far as the distances run.

Question 4.
The following table shows the number of cups of milk and flour that are needed to make biscuits. Complete the table.
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 56
Answer:
Eureka Math Grade 7 Module 1 Lesson 13 Problem Set Answer Key 57

Eureka Math Grade 7 Module 1 Lesson 13 Exit Ticket Answer Key

The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water. Using the information provided in the table, complete the remaining parts of the table.
Engage NY Math 7th Grade Module 1 Lesson 13 Exit Ticket Answer Key 25
Answer:
Engage NY Math 7th Grade Module 1 Lesson 13 Exit Ticket Answer Key 26

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