## Engage NY Eureka Math 5th Grade Module 4 Lesson 7 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 7 Problem Set Answer Key

Solve using a tape diagram.
a. $$\frac{1}{3}$$ of 18
6

Explanation: b. $$\frac{1}{3}$$ of 36
11

Explanation: c. $$\frac{3}{4}$$ × 24
18

Explanation: d. $$\frac{3}{8}$$ × 24
9

Explanation: e. $$\frac{4}{5}$$ × 25
20

Explanation: f. $$\frac{1}{7}$$ × 140
20

Explanation: g. $$\frac{1}{4}$$ × 9
2 1/4

Explanation: h. $$\frac{2}{5}$$ × 12

i. $$\frac{2}{3}$$ of a number is 10. What’s the number?

j. $$\frac{3}{4}$$ of a number is 24. What’s the number?

Question 2.
Solve using tape diagrams.
a. There are 48 students going on a field trip. One-fourth are girls. How many boys are going on the trip?
36 boys are going on the field trip.

Explanation:
As 48 students are going on a field trip in this $$\frac{1}{4}$$ are girls. Hence 36 boys are going on the field trip.
$$\frac{1}{4}$$ × 48 = $$\frac{48}{4}$$ = 12
12 × 3 = 36

b. Three angles are labeled below with arcs. The smallest angle is $$\frac{3}{8}$$ as large as the 160° angle. Find the value of angle a. Angle a is 140°

Explanation:
The smallest angle given is $$\frac{3}{8}$$ and the largest angle is 160°.
160 × $$\frac{3}{8}$$ = $$\frac{480}{8}$$ = 60
160 + 60 = 220
360-220= 140
Hence the value of angle a is 140°

c. Abbie spent $$\frac{5}{8}$$ of her money and saved the rest. If she spent $45, how much money did she have at first? Answer: Abbie had$72.

Explanation:
45 ÷ $$\frac{5}{8}$$ = 45 × $$\frac{8}{5}$$ = $$\frac{360}{5}$$ =72

d. Mrs. Harrison used 16 ounces of dark chocolate while baking. She used $$\frac{2}{5}$$ of the chocolate to make some frosting and used the rest to make brownies. How much more chocolate did Mrs. Harrison use in the brownies than in the frosting?
Mrs. Harrison use 3 × $$\frac{1}{5}$$ chocolate for the brownie

Explanation:
Harrison used 16 ounces of dark chocolate. She used $$\frac{2}{5}$$ of the chocolate to make some frosting and the remaining to make brownies.
16 × $$\frac{1}{5}$$ = $$\frac{16}{5}$$ = 3 × $$\frac{1}{5}$$
Hence, Mrs. Harrison use 3 × $$\frac{1}{5}$$ chocolate for the brownie.

### Eureka Math Grade 5 Module 4 Lesson 7 Exit Ticket Answer Key

Solve using a tape diagram.

a. $$\frac{3}{5}$$ of 30

b. $$\frac{3}{5}$$ of a number is 30. What’s the number?

c. Mrs. Johnson baked 2 dozen cookies. Two-thirds of the cookies were oatmeal. How many oatmeal cookies did Mrs. Johnson bake?

### Eureka Math Grade 5 Module 4 Lesson 7 Homework Answer Key

Question 1.
Solve using a tape diagram.
a. $$\frac{1}{4}$$ of 24

b. $$\frac{1}{4}$$ of 48

c. $$\frac{2}{3}$$ × 18

d. $$\frac{2}{6}$$ × 18

e. $$\frac{3}{7}$$ × 49

f. $$\frac{3}{10}$$ × 120

g. $$\frac{1}{3}$$ × 31

h. $$\frac{2}{5}$$ × 20

i. $$\frac{1}{4}$$ × 25

j. $$\frac{3}{4}$$ × 25

k. $$\frac{3}{4}$$ of a number is 27. What’s the number?

i. $$\frac{2}{5}$$ of a number is 14. What’s the number?

Question 2.
Solve using tape diagrams.
a. A skating rink sold 66 tickets. Of these, $$\frac{2}{3}$$ were children’s tickets, and the rest were adult tickets. What total number of adult tickets were sold?

b. A straight angle is split into two smaller angles as shown. The smaller angle’s measure is $$\frac{1}{6}$$ that of a straight angle. What is the value of angle a? c. Annabel and Eric made 17 ounces of pizza dough. They used $$\frac{5}{8}$$ of the dough to make a pizza and used the rest to make calzones. What is the difference between the amount of dough they used to make pizza and the amount of dough they used to make calzones?

d. The New York Rangers hockey team won $$\frac{3}{4}$$ of their games last season. If they lost 21 games, how many games did they play in the entire season?