Lesson 6: Practice Problems

Problem 1

A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. The table shows different quantities of red and white paint for the same shade of pink. Complete the table.

white paint (cups)	red paint (cups)
$4$	$3$
	$1$
$1$
	$4$
$5$

Problem 2

A farm lets you pick 3 pints of raspberries for $12.00.

What is the cost per pint?
How many pints do you get per dollar?
At this rate, how many pints can you afford for $20.00?
At this rate, how much will 8 pints of raspberries cost?

Problem 3

Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cornmeal.

Han says, “I am using 3 cups of water. I will need $1 \frac{1}{5}$ cups of cornmeal.”
Tyler says, “I am using 3 cups of cornmeal. I will need $7 \frac{1}{2}$ cups of water.”

Do you agree with either of them? Explain your reasoning.

Problem 4

A large art project requires enough paint to cover 1,750 square feet. Each gallon of paint can cover 350 square feet. Each square foot requires $\frac{1}{350}$ of a gallon of paint.

Andre thinks he should use the rate $\frac{1}{350}$ gallons of paint per square foot to find how much paint they need. Do you agree with Andre? Explain or show your reasoning.

Problem 5 From Unit 3 Lesson 5

Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster? Explain your reasoning.

Problem 6 From Unit 3 Lesson 5

A corn vendor at a farmer’s market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32. Which bag is the better deal? Explain or show your reasoning.

Problem 7 From Unit 3 Lesson 3

A soccer field is 100 meters long. What could be its length in yards?

33.3
91
100
109