Lesson 23

Complete each statement.

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.

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.

1. 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.
2. If \(x\) represents a number, does \(\frac{2}{5} \boldcdot x\) always represent 40% of that number? Explain your reasoning.

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

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

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?