# Into Math Grade 6 Module 6 Answer Key Apply Ratios and Rates to Measurement

We included HMH Into Math Grade 6 Answer Key PDF Module 6 Apply Ratios and Rates to Measurement to make students experts in learning maths.

## HMH Into Math Grade 6 Module 6 Answer Key Apply Ratios and Rates to Measurement

How Many Ways Can You Write Equivalent Ratios?

The cost per hour of renting a photo booth for a school party is the same no matter how many hours the booth is rented.

Write four pairs of equivalent ratios based on the information presented on the flyers.  Turn and Talk

• Choose one of the answers you wrote and explain how the two ratios make similar comparisons.
• Choose one of the answers you wrote, and use mathematics to explain how you know that the two ratios are equivalent.

Given,
Booth rental for unlimited prints for 2 hours is $110 The possible ratios are 2: 110 1: 55 3: 165 4: 220 Booth rental for unlimited prints for 3 hours is$165
The possible ratios are
3: 165
2: 110
1: 55
4: 220

Complete these problems to review prior concepts and skills you will need for this module.

Multiply or Divide to Find Equivalent Fractions

Multiply or divide to find the equivalent fraction.

Question 1. _________
Let the missing numerator of the equivalent fraction be x.
$$\frac{21}{60}$$ = $$\frac{x}{360}$$
x × 60 = 21 × 360
6x = 21 × 36
6x = 756
x = 756/6
x = 126
So, the equivalent fraction is $$\frac{21}{60}$$ = $$\frac{126}{360}$$

Question 2. _________
Let the missing numerator of the equivalent fraction be x.
$$\frac{51}{120}$$ = $$\frac{x}{360}$$
x × 120 = 51 × 360
12x = 51 × 36
12x = 1836
x = 1836/12
x = 153
So, the equivalent fraction is $$\frac{51}{120}$$ = $$\frac{153}{360}$$

Question 3. _________
Let the missing numerator of the equivalent fraction be x.
$$\frac{51}{120}$$ = $$\frac{x}{360}$$
x × 180 = 143 × 360
18x = 143 × 36
18x = 5148
x = 5148/18
x = 286
So, the equivalent fraction is $$\frac{143}{180}$$ = $$\frac{286}{360}$$

Ratio Language

There are 8 sixth-graders and 16 seventh-graders in a class. Complete each ratio for this class.

Question 4.
Given,
The ratio is 8 : 16 = 1 : 2

Question 5.
The ratio is 8 : 16 = 1 : 2

Question 6.
The ratio of seventh-graders to total students is ___ :3.

Question 7.
1 out of every ___ students is a sixth-grader.

Representing Equivalent Ratios

Complete the table of equivalent ratios.

Question 8.
Maris is making a necklace. She uses 4 silver beads for each gold bead. Given,
Maris is making a necklace. She uses 4 silver beads for each gold bead.
The ratio is 1:4. The equivalent ratios for gold and silver are
1 : 4
2 : 8
3 : 12
4 : 16

Question 9.
Kendra is making trail mix. She uses 3 cups of peanuts for each cup of raisins.  