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

HMH Into Math Grade 7 Module 2 Answer Key Proportional Reasoning with Percents 1

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.

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

Turn and Talk
What diagram do you think is missing from the sequence of figures above? Explain your reasoning using a diagram.
Answer:
HMH-Into-Math-Grade-7-Module-2-Answer-Key-Proportional-Reasoning-with-Percents-2

Are You Ready?

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) ____
Answer:
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) ____
Answer:
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 ____
Answer:
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? ____
Answer:
60% of 120
60/100 × 120 = 72

Question 5.
Find 8% of 65. _____
Answer:
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? ___
Answer:
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? _____
Answer:
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?
________________
Answer:
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?
________________
Answer:
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?
Answer:
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?
Answer:
Given,
A painter mixes gray paint by using 1 gallon of black paint for every 7 gallons of white paint.
1 gallon of black paint + 7 gallons of white paint = 8 gallons of grey paint.
So, black paint needed for 20 gallon of grey paint = 20 × 1/8 = 10/4 = 2.5 gallons
White paint needed for 20 gallons of grey paint = 20 × 7/8 = 70/4 = 17.5 gallons

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