Proportions
Percent Change
Proportion Word Problems
Circles
100

Solve for x: 

2/4 = x/16



x = 8

100

A board game debuted at a cost of $59. After three months, the price was reduced to $36. What was the percent change in the price of the game?

39% decrease

100

Mary ran 2 miles in 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?

(Set up the proportion and solve!)

2/23 = 10/x

x = 115 minutes

100

Find the volume of a cylinder with a diameter of 12 cm and a height of 20 cm.

V=bh

A=(3.14)(r^2)

2260.8 cm cubed

200

Solve for x:

20/30 = x/15

x = 10
200

Lukas sold 50 of the 86 video games in his collection. What was the percent change in the number of games in his collection after making the sale?

58.1% decrease

200

A 2-month membership to the gym costs $125. Jim would like to be a member for 8 months. What is the total amount he will pay for 8 months?

(Set up the proportion and solve!)

2/125 = 8/x

x = $500

200

Find the area of a circle with a radius of 7 inches.

A=(3.14)(r^2)

153.86 inches squared

300

Solve for x:

x/2.5 = 18/5

x = 9

300

Troy works at a tech store and makes $12 an hour. If his hourly pay was increased to $13.75 an hour, what was the percent change?

14.6% increase

300

Bobby drove 110 miles, and his car used up 5 gallons of gas. How many miles can he drive with 16 gallons of gas?

(Set up proportion and solve!)

110/5 = x/16

352 miles

300

Find the height of a cylinder with a volume of 600 ft cubed and base with 80 ft squared.

V=bh

A=(3.14)(r^2)

7.5 ft

400
Solve for x:

12/19 = 11/x

x = 17.417

400

Ethan has a job mowing lawns in the summer. His is dedicated to putting 40% of his income back into his business account. Last week, he put $30 into his business account. How much money did he make last week?

$75

400

Carter has to read a 278 page book for ELA class. He can read 6 pages in 18 minutes. At this rate, how long will it take him to finish the book?

6/18 = x/278

92.67 minutes

400

Find 25% of the volume of a cylinder with a radius of 2 meters and a height of 18 meters. Round to the nearest whole number.

V=bh

A=(3.14)(r^2)

57 meters cubed

500

Solve for x:

8/9.7 = 8.1/x

x = 9.82125

500

Alberto makes $21 an hour at his current job. His boss said next week he will start making $24. What is the percent increase in Alberto's pay?

14.286%

500

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

25/3 = x/7

$58.33

500

Find the area of a semicircle with a diameter of 10 inches. Round to the nearest whole number.

A=(3.14)(r^2)

39 inches squared