# Lesson 23

Solving Percentage Problems

Let's solve more percentage problems.

### Problem 1

Complete each statement.

- 20% of 60 is ________
- 25% of ________ is 6
- ________% of 100 is 14

- 50% of 90 is ________
- 10% of ________ is 7
- 30% of 70 is ________

### Problem 2

A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.

### Problem 3

The original price of a scarf was $16. During a store-closing sale, a shopper saved $12 on the scarf. What percentage discount did she receive? Explain or show your reasoning.

### Problem 4

- To find 40% of 75, Priya calculates \(\frac{2}{5} \boldcdot 75\). Does her calculation give the correct value for 40% of 75? Explain or show how you know.
- If \(x\) represents a number, does \(\frac{2}{5} \boldcdot x\) always represent 40% of that number? Explain your reasoning.

### Problem 5

Han spent 75 minutes practicing the piano over the weekend. For each question, explain or show your reasoning.

- Priya practiced the violin for 152% as much time as Han practiced the piano. How long did she practice?
- Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

### Problem 6

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

- At what pace does the ant travel per centimeter?
- At what speed does the ant travel per minute?