# Lesson 14

Solving Percentage Problems

Let’s solve more percentage problems.

### Problem 1

For each problem, explain or show your reasoning.

1. 160 is what percentage of 40?
2. 40 is 160% of what number?
3. What number is 40% of 160?

### Problem 4

Select all the expressions whose value is larger than 100.

A:

120% of 100

B:

50% of 150

C:

150% of 50

D:

20% of 800

E:

200% of 30

F:

500% of 400

G:

1% of 1,000

### Problem 5

An ant travels at a constant rate of 30 cm every 2 minutes.

1. At what pace does the ant travel per centimeter?
2. At what speed does the ant travel per minute?
(From Unit 3, Lesson 8.)

### Problem 6

Is 3$$\frac{1}{2}$$ cups more or less than 1 liter? Explain or show your reasoning. (Note: 1 cup $$\approx$$ 236.6 milliliters)

(From Unit 3, Lesson 4.)

### Problem 7

Name a unit of measurement that is about the same size as each object.

1. The distance of a doorknob from the floor is about 1 _____________.

2. The thickness of a fingernail is about 1 _____________.

3. The volume of a drop of honey is about 1 _____________.

4. The weight or mass of a pineapple is about 1 _____________.

5. The thickness of a picture book is about 1 _____________.

6. The weight or mass of a buffalo is about 1 _____________.

7. The volume of a flower vase is about 1 _____________.

8. The weight or mass of 20 staples is about 1 _____________.

9. The volume of a melon is about 1 _____________.

10. The length of a piece of printer paper is about 1 _____________.

(From Unit 3, Lesson 2.)