Lesson 14
Solving Percentage Problems
Problem 1
For each problem, explain or show your reasoning.
 160 is what percentage of 40?
 40 is 160% of what number?
 What number is 40% of 160?
Solution
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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.
Solution
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Problem 3
The original price of a scarf was $16. During a storeclosing sale, a shopper saved $12 on the scarf. What percentage discount did she receive? Explain or show your reasoning.
Solution
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Problem 4
Select all the expressions whose value is larger than 100.
120% of 100
50% of 150
150% of 50
20% of 800
200% of 30
500% of 400
1% of 1,000
Solution
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Problem 5
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?
Solution
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(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)
Solution
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(From Unit 3, Lesson 4.)Problem 7
Name a unit of measurement that is about the same size as each object.

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

The thickness of a fingernail is about 1 _____________.

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

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

The thickness of a picture book is about 1 _____________.

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

The volume of a flower vase is about 1 _____________.

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

The volume of a melon is about 1 _____________.

The length of a piece of printer paper is about 1 _____________.
Solution
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(From Unit 3, Lesson 2.)