SOLVING PROPORTIONS WORKSHEET

Solve the following proportions

Solve for the variable.

1)  2/r = 12/18             Solution

2)  50/20 = 5/h           Solution

3)  16/6 = 3d/9           Solution

4)  45/27 = x/3           Solution

5)  v/84 = 2/21           Solution

6)  b/8 = 8/64           Solution

7)  13/3 = 26/c           Solution

8)  27/15 = 72/a           Solution

9)  15/n = 5/12           Solution

10)  20/8 = 4k/32           Solution

Problem 11 :

If 8 cases of merchandise cost $60, what would a dozen cases cost?

Solution

Problem 12 :

Benito saves $6 out of every $20 he earns. He earned $90 one month. How much did he save?

Solution

Problem 13 :

A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?

Solution

Problem 14 :

Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?

Solution

Problem 15 :

In his last game, the Rams’ quarterback completed 10 out of 18 passes he threw. At this rate how many passes will he attempt if he completes 15 passes?

Solution

Problem 16 :

Serena paid a tax of $288 on a house assessed at $48,000. Using the same tax rate, find the tax on a house assessed at $59,000.

Solution

Find the missing number in each proportion

1)  3/5 = x/20    Solution

2)  x/18 = 2/9    Solution

3)  8/x = 3.2/4        Solution

4)  x/45 = 16/40 = 24/y     Solution

5)  16/36 = x/63 = 36/y = z/117             Solution

6)  20m : 70m = $8 : $x   Solution

7)  The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 m long, how tall is the flagstaff?

Solution

8)  In a school, the ratio of the number of large classrooms to small classrooms is 3:4. If the number of small rooms is 20, then find the number of large rooms.

Solution

Problem 9 :

There are 45 males and 60 females in a subway car. The subway car travels 2.5 miles in 5 minutes.

a. Find the ratio of males to females

b. Find the speed of the subway car.

Solution

Problem 10 :

A painter can paint 350 square feet in 1.25 hours. What is the painting rate in square feet per hour?

Solution

Problem 11 :

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?

Solution

Problem 1 :

A car travels 120 miles in 3 hours (with a constant speed). How far will it take to travel 200 miles?

Solution

Problem 2 :

50 apples cost $25. How much would 75 apples cost?

Solution

Problem 3 :

It takes Mike18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages?

Solution

Problem 4 :

Nathan packs 25 boxes in 2 hours. How many boxes can he pack in his 8 – hour shift?

Solution

Problem 5 :

13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?

Solution

Problem 6 :

A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?

Solution

Problem 7 :

24 loaves of bread cost $48. How much does 10 loaves cost?

Solution

Problem 8 :

You are making sugar water for your hummingbird feeder. A website indicates to use 4 parts of water for every 1 part of sugar. You use 20 cups of water. How much sugar do you need?

Solution

Problem 1 :

Two numbers are in the ratio pf 3 : 5. If 9 is subtracted from each, the ratio becomes 12 : 23. Find the greater number ?

Solution

Problem 2 :

10 boys can dig a pitch in 12 hours, How long will 8 boys take to do it ?

Solution

Problem 3 :

A family consumes 30 kg of sugar in 15 days. How much sugar will be consumed in 275 days ?

Solution

Problem 4 :

Two numbers are respectively 20% and 50% more than a 3rd number. Find the ratio of two numbers ?

Solution

Problem 6 :

A finishes his work in 15 days while B takes 10 days. How many days will the same work be done if they work together?

Solution

Problem 7 :

Cost of 4 pens is $120 and 6 pencils cost is $60. If i want to purchase 6 pens and 2 pencils, how much should i pay ?

Solution

Problem 8 :

When 7 is added to the numerator and denominator of the fraction, then the new ratio becomes 13 : 19, what is the original ratio ?

Solution

Problem 9 :

If x : y = 7 : 4, then (4x + 7y) : (7x + 4y) ?

Solution

Problem 10 :

Calculate the 3rd proportional to 16 and 32.

Solution