## 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.

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?
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.
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?

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.
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.
9

Question 2.
If 40% of a number is 56, what was the original number?
140

Question 3.
In a 10 × 10 grid that represents 800, one square represents _____________ .
In a 10 × 10 grid that represents 800, one square represents    8    .

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

17% of 800 is _____________ .               83% of 800 is _____________ .
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.
40% of 60 40% = $$\frac{40}{100}=\frac{4}{10}=\frac{24}{60}$$ 40% of 60 is 24
15% = $$\frac{15}{100}=\frac{30}{200}$$