# Into Math Grade 4 Module 3 Lesson 4 Answer Key Use Comparisons to Solve Problem Situations

We included HMH Into Math Grade 4 Answer Key PDF Module 3 Lesson 4 Use Comparisons to Solve Problem Situations to make students experts in learning maths.

## HMH Into Math Grade 4 Module 3 Lesson 4 Answer Key Use Comparisons to Solve Problem Situations

I Can write equations with letters for the unknown values to model and solve multiplicative and additive comparison problems.

Step It Out

1. Anton is making chili for lunch at a soup kitchen. He uses 8 cups of navy beans. The recipe calls for 3 times as many black beans as navy beans. How many cups of black beans does Anton use?

A. Draw a box around what you want to know. Then underline the facts you will use.
B. Identify the type of comparison. ____
Explanation:
Multiplication type of comparison
C. Identify the unknown in the comparison. Circle the answer.
Smaller quantity how many times as many
larger quantity how many more/fewer
Explanation:
The black beans are larger in quantity

D. Write an equation to model the problem. Use n for the unknown.
smaller quantity + how many more/fewer = larger quantity
how many times as many × smaller quantity = larger quantity
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Explanation:
smaller quantity + how many more/fewer = larger quantity
8 + 8 + 8 = n
24 = n
n = 3 x 8
n = 24
E. Solve the problem. Find the value for n that makes the equation true. ___________
Explanation:
n = 3 x 8
n = 24
F. Anton uses ____ cups of black beans.
Explanation:
F. Anton uses 24 cups of black beans.
He uses 8 cups of navy beans.
The recipe calls for 3 times as many black beans as navy beans.
let n be the cups of black beans
n = 3 x 8
n = 24

Turn and Talk How could you use a bar model or other visual model to represent the problem?
Explanation:

Step It Out

2. Some students are helping out at a soup kitchen. They bring in 42 cases of water and 7 cases of juice. How many more cases of water than juice do the students bring in?

A. Identify the type of comparison. ____
Explanation:
subtraction type of comparison
B. Identify the unknown. ____
Unknown is number of water cans
Explanation:
C. Write an equation to model the comparison and solve the problem. Use n for the unknown.
_____ ___ = ____
n = ____
Explanation:
42 – 7 = 35
n = 35
D. The students bring in ____ more cases of water.
Explanation:
The students bring in 35 more cases of water.

Turn and Talk Would you solve the problem differently if it asked how many times as many cases of water as juice? Explain.
Explanation:
7 x n = 42
n = 42 ÷ 7
n = 6
6 times as many cases of water as juice

Check Understanding Math Board

Write an equation to model and solve the problem. Use n for the unknown.

Question 1.
Tina donates 3 fewer cans of corn than green beans. She donates 15 cans of green beans. How many cans of corn does Tina donate?
Tina donates _____ cans of corn.
Explanation:

Question 2.
There are 42 students and 6 adults volunteering at the soup kitchen. How many times as many students as adults are volunteering?
There are ____ times as many students as adults.
let n be the many students as adults are volunteering
6 x n = 42
n = 42 ÷ 6
n = 7
Explanation:
There are 7 times as many students as adults.

Model with Mathematics Write an equation to model and solve the problem. Use n for the unknown.

Question 3.
Mr. Torres makes 12 cups of rice and 8 cups of couscous for the soup kitchen. How many more cups of rice than couscous does Mr. Torres make?

4 more cups of rice than couscous
Explanation:
Mr. Torres makes 12 cups of rice and 8 cups of couscous for the soup kitchen.
n be the unknown
n = 12 – 8
n = 4

Question 4.
Carrie spends 45 minutes making chicken noodle soup. That is 5 times as many minutes as she spends making a salad. How many minutes does Carrie spend making the salad?
9 minutes that Carrie spend making the salad
Explanation:
Carrie spends 45 minutes making chicken noodle soup.
That is 5 times as many minutes as she spends making a salad.
n x 5 = 45
n = 45 ÷ 5
n = 9

Question 5.
Reason Draw a line to match each comparison problem to the equation that models it.

Explanation:
Matched with the appropriate equation.

Question 6.
Use Structure Ms. Novak volunteers 15 hours at the soup kitchen this week. That is 5 times as many hours as Gina volunteers. How many hours does Gina volunteer at the soup kitchen?

Use inverse operations to write two different equations to model the problem. Let h = the number of hours Gina volunteers.

Explanation:
Let h = the number of hours Gina volunteers.
h x 5 = 15
h = 3
Inverse operation:
15 ÷  5 = 3
h = 3

Model with Mathematics Write an equation to model and solve the problem. Use n for the unknown.

Question 7.
Joshua makes these centerpieces. He makes 2 fewer centerpieces than Betty. How many centerpieces does Betty make?

let m be the unknown
m = 4 – 2 = 2
m = 2
Explanation:
Joshua makes these centerpieces.
He makes 2 fewer centerpieces than Betty.
2 centerpieces that Betty make

Question 8.

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