Proportions
Ratios
Mixed
100

Tell whether the ratios form a proportion.

1/3, 7/21

The ratios are equivalent. So, 1/3 and 7/21 form a proportion.

100

IN a certain room there are 28 women and 21 men. What is the ratio of men to woman?

21:28=3:4

100

Tell whether the two rates form a proportion.

7 inches in 9 hours; 42 inches in 54 hours

The two rates form a proportion.

200

Tell whether the two rates form a proportion.

120 units made in 5 days; 88 units made in 4 days

The two rates do not form a proportion.

200

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

$51

200

Find the unit rate.

180 miles in 3 hours

The unit rate is 60 miles per hour.

300

You earn $56 walking your neighbor’s dog for 8 hours. Your friend earns $36 painting your neighbor’s fence for 4 hours. Are they proportionate?

No they are not proportionate.

300

A supplier sells 2 1/4 pounds of mulch for every       1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

The supplier sells 108 pounds of mulch and 64 pounds of gravel.

300

At 1:00 p.m., you have 24 megabytes of a movie. At 1:15 p.m., you have 96 megabytes. What is the download rate in megabytes per minute?

The download rate is 4.8 megabytes per minute.

400

You are 13 years old, and your cousin is 19 years old. As you grow older, is your age proportional to your cousin’s age?

No, your age is not proportional to your cousin's age

400

Your friend’s heart beats 18 times in 15 seconds when at rest. While running, your friend’s heart beats 25 times in 10 seconds. Find the heart rate in beats per minute at rest and while running.

So, your friend's heart beat per minute at rest is

72 beats/minute and running is 150 beats/minute.

400

A school has 950 students. The ratio of female students to all students is 48/95 . Write and solve a proportion to find the number f of students who are female.

There are 480 female students.

500

You pay $1 to rent a movie plus an additional $0.50 per day until you return the movie. Your friend pays $1.25 per day to rent a movie. Which person pays an amount proportional to the number of days rented?

Your friend pays a proportional amount.

500

You mix 2/5 cup of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint. 

You decide that you want to make a lighter purple paint. You make the new mixture by adding 1/10

cup of white paint for every 2/5 cup of red paint and

1/4 cup of blue paint. How much red paint, blue paint, and white paint do you use to make 3/8 gallon of lighter purple paint?

So, you will need 16 cups of red paint and 10 cups of

blue paint.

500

A specific shade of red nail polish requires 7 parts red to 2 parts yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. How can you fix the mixture to make the correct shade of red?

You should add 10 8 2 − = quarts yellow to the given mixture.