## Engage NY Eureka Math 6th Grade Module 1 Lesson 26 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 26 Example Answer Key

Example 1.

Five of the 25 girls on Alden Middle School’s soccer team are seventh-grade students. Find the percentage of seventh graders on the team. Show two different ways of solving for the answer. One of the methods must include a diagram or picture model.

Answer:

Method 2:

\(\frac{5}{25}=\frac{1}{5}=\frac{20}{100}\) = 20%

Example 2.

Of the 25 girls on the Alden Middle School soccer team, 40% also play on a travel team. How many of the girls on the middle school team also play on a travel team?

Answer:

One method: 40% = \(\frac{40}{100}=\frac{10}{25}\). Therefore, 10 of the 25 girls are also on the travel team.

Another method: Use of tape diagram shown below.

10 of the girls also play on a travel team.

Example 3

The Alden Middle School girls’ soccer team won 80% of its games this season. If the team won 12 games, how many names did it play? Solve the problem using at least two different methods.

Answer:

Method 1:

80% = \(\frac{80}{100}=\frac{8}{10}=\frac{4}{5}\)

\(\frac{4 \times 3 \rightarrow}{5 \times 3 \rightarrow}=\frac{12}{15}\)

15 total games

Method 2:

The girls played a total of 15 games.

### Eureka Math Grade 6 Module 1 Lesson 26 Exercise Answer Key

Exercise 1.

There are 60 animal exhibits at the local zoo. What percent of the zoo’s exhibits does each animal class represent?

Answer:

Exercise 2.

A sweater is regularly $32. It is 25% off the original price this week.

a. Would the amount the shopper saved be considered the part, whole, or percent?

Answer:

It would be the part because the $32 is the whole amount of the sweater, and we want to know the part that was saved.

b. How much would a shopper save by buying the sweater this week? Show two methods for finding your answer.

Answer:

Method 1:

25% = \(\frac{25}{100}=\frac{1}{4}\)

32 × \(\frac{1}{4}\) = $8 saved

Method 2:

The shopper would save $8.

Exercise 3.

A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.

a. Is the original price of the jeans considered the whole, part, or percent?

Answer:

The original price is the whole.

b. What was the original cost of the jeans before the sale? Show two methods for finding your answer.

Answer:

Method 1:

30% = \(\frac{30}{100}=\frac{3}{10}\)

\(\frac{3 \times 8}{10 \times 8}=\frac{24}{80}\)

The original cost was $80.

Method 2:

Exercise 4.

Purchasing a TV that is 20% off will save $180.

a. Name the different parts with the words: PART, WHOLE, PERCENT.

Answer:

b. What was the original price of the TV? Show two methods for finding your answer.

Answer:

Method 1:

Method 2:

20% = \(\frac{20}{100}\)

\(\frac{20 \times 9}{100 \times 9}=\frac{180}{900}\)

The original price was $900.

### Eureka Math Grade 6 Module 1 Lesson 26 Problem Set Answer Key

Question 1.

What is 15% of 60? Create a model to prove your answer.

Answer:

9

Question 2.

If 40% of a number is 56, what was the original number?

Answer:

140

Question 3.

In a 10 × 10 grid that represents 800, one square represents _____________ .

Answer:

In a 10 × 10 grid that represents 800, one square represents 8 .

Use the grids below to represent 17% and 83% of 800.

Answer:

17% of 800 is _____________ . 83% of 800 is _____________ .

Answer:

17% of 800 is 136 . 83% of 800 is 664 .

### Eureka Math Grade 6 Module 1 Lesson 26 Exit Ticket Answer Key

Question 1.

Find 40% of 60 using two different strategies, one of which must include a pictorial model or diagram.

Answer:

40% of 60 40% = \(\frac{40}{100}=\frac{4}{10}=\frac{24}{60}\) 40% of 60 is 24

Question 2.

15% of an amount is 30. Calculate the whole amount using two different strategies, one of which must include a pictorial model.

Answer:

15% = \(\frac{15}{100}=\frac{30}{200}\)

The whole quantity is 200