# Into Math Grade 7 Module 2 Answer Key Proportional Reasoning with Percents

We included HMH Into Math Grade 7 Answer Key PDF Module 2 Proportional Reasoning with Percents to make students experts in learning maths.

## HMH Into Math Grade 7 Module 2 Answer Key Proportional Reasoning with Percents

The Case Of The Missing Diagram The Bounceville Table Tennis Club holds a 50-game tournament each year.
The shaded portion of each diagram represents the games won by a table tennis team during the tournament.

Write a sentence for each diagram that describes the percent of the whole that is shown. The first one is done for you. Turn and Talk
What diagram do you think is missing from the sequence of figures above? Explain your reasoning using a diagram. Complete these problems to review prior concepts and skills you will need for this module.

Multiply Decimals by Whole Numbers

Find each product.

Question 1.
0.3(12) ____
Multiplying the whole numbers with decimal numbers is the same as multiplying the whole numbers just you have to ignore the decimal points.
3 × 12 = 48
There is one point in the decimal so put 1 point from the left.
0.3 × 12 = 4.8

Question 2.
0.75(68) ____
Multiplying the whole numbers with decimal numbers is the same as multiplying the whole numbers just you have to ignore the decimal points.
75 × 68 = 5100
There are 2 points in the decimal so put 1 point from the left.
0.75(68)

Question 3.
1.25 ∙ 40 ____
Multiplying the whole numbers with decimal numbers is the same as multiplying the whole numbers just you have to ignore the decimal points.
125 × 40 = 5000
There are 2 points in the decimal so put 1 point from the left.
1.25 × 40 = 50

Find a Percent or a Whole

Solve each problem.

Question 4.
What is 60% of 120? ____
60% of 120
60/100 × 120 = 72

Question 5.
Find 8% of 65. _____
8% of 65
8/100 × 65 = 0.08 × 65 = 5.2
So, 8% of 65 is 5.2

Question 6.
50% of what number is 27? ___
50% of x = 27
50/100 × x = 27
50 × x = 27 × 100
5x = 270
x = 270/5
x = 54

Question 7.
63% of what number is 252? _____
63% of x = 252
63/100 × x = 252
63 × x = 252 × 100
63x = 25200
x = 25200/63
x = 400

Question 8.
Carl scored 35% of his basketball team’s 40 points during a game. How many points did Carl score?
________________
Carl scored 35% of his basketball team’s 40 points during a game.
35% of 40 = x
35/100 × 40 = x
x = 14
Thus Carl scores 14 points.

Use Ratio and Rate Reasoning

Solve each problem.

Question 9.
The ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?
________________
Given,
The ratio of fish to snails in an aquarium is 3 to 2.
There are 18 fish in the aquarium.
3:2 = 18:x
3/2 = 18/x
3 × x = 18 × 2
x = 12
There are 12 snails in the aquarium.

Question 10.
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Given,
Irina ran 0.25 mile in 2 minutes.
2 × 2/0.25
(2 × 2)/(25/100)
2 × 2 × 100/25
2 × 2 × 4 = 16
It will take 16 minutes for her to run 2 miles.

Question 11.
A painter mixes gray paint by using 1 gallon of black paint for every 7 gallons of white paint. How much black paint and how much white paint will the painter need to mix 20 gallons of gray paint?