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.

Answer:

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

**Are You Ready?**

**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.

_________

Answer:

Let the missing numerator of the equivalent fraction be x.

\(\frac{21}{60}\) = \(\frac{x}{360}\)

x Ã— 6~~0~~ = 21 Ã— 36~~0~~

6x = 21 Ã— 36

6x = 756

x = 756/6

x = 126

So, the equivalent fraction is \(\frac{21}{60}\) = \(\frac{126}{360}\)

Question 2.

_________

Answer:

Let the missing numerator of the equivalent fraction be x.

\(\frac{51}{120}\) = \(\frac{x}{360}\)

x Ã— 12~~0~~ = 51 Ã— 36~~0~~

12x = 51 Ã— 36

12x = 1836

x = 1836/12

x = 153

So, the equivalent fraction is \(\frac{51}{120}\) = \(\frac{153}{360}\)

Question 3.

_________

Answer:

Let the missing numerator of the equivalent fraction be x.

\(\frac{51}{120}\) = \(\frac{x}{360}\)

x Ã— 18~~0~~ = 143 Ã— 36~~0~~

18x = 143 Ã— 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.

The ratio of sixth-graders to seventh-graders is 8 to ____.

Answer:

Given,

There are 8 sixth-graders and 16 seventh-graders in a class

The ratio is 8 : 16 = 1 : 2

The ratio of sixth-graders to seventh-graders is 8 to 16.

Question 5.

There is 1 sixth-grader for every ____ seventh-graders.

Answer:

The ratio is 8 : 16 = 1 : 2

That means there is 2 seventh grader for every 1 sixth-grader.

There is 1 sixth-grader for every 2 seventh-graders.

Question 6.

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

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

Question 7.

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

Answer: 1 out of every 2 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.

Answer:

Given,

Maris is making a necklace. She uses 4 silver beads for each gold bead.

For every 1 gold bead they use 4 silver beads.

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.

Answer:

Kendra is making trail mix.

She uses 3 cups of peanuts for each cup of raisins.

The ratio is 1:3

The equivalent ratios for raisins and peanuts

1 : 3

2 : 6

3 : 9

4 : 12

5 : 15