SOLVING PROPORTIONS WORD PROBLEMS WORKSHEET

Problem 1 :

If a 6 ft tall tent casts a 10 ft long shadow then how long is the shadow that a 9 ft tall adult elephant casts ?

Solution

Problem 2 :

A model plane has a scale of 1 in : 6 yd. If the model plane is 3 in tall then how tall is the real plane ?

Solution

Problem 3 :

A particular motorcycle is 9 ft long. A model of it was built with a scale of 1 in : 3 ft. how long is the model ?

Solution

Problem 4 :

A particular satellite is 15 m wide. A model of it was built with a scale of 1 cm : 5 m. How wide is the model ?

Solution

Problem 5 :

A model train is 7 in tall. If it was built with a scale of 1 in : 2 ft then how tall is the real train ?

Solution

Problem 6 :

Find the distance between Riverside and Victoria if they are 9 cm apart on a map with a scale of 1 cm : 18 km.

Solution

Problem 7 :

Milton and San Jose are 9 in apart on a map that has a scale of 1 in ; 13 mi. How far apart are the real cities? 

Solution

Problem 8 :

A 15 ft tall statue standing next to an adult elephant casts a 18 ft shadow. If the adult elephant is 10 ft tall then how long is its shadow?

Solution

Problem 9 :

Find the distance between Fairview and Riverside if they are 4 in apart on a map with a scale of 1 in : 3 mi.

Solution

Problem 10 :

A globe that is 3 ft tall casts a shadow that is 7 ft long. Find the length of the shadow that a 6 ft woman casts.

Solution

Problem 11 :

A 6 ft tall man standing next to a tree casts a 8 ft shadow. If the tree is 15 ft tall then how long is its shadow?

Solution

Problem 12 :

A 8 ft tall telephone booth standing next to an adult giraffe casts a 4 ft shadow. If the adult giraffe is 14 ft tall then how long is its shadow?

Solution

Problem 1 :

If there are 3 cups of sugar in 24 cookies, how much sugar is there in 72 cookies? Write a proportion.

Solution

Problem 2 :

The word order in some problems requires special care. “A 20-pound turkey serves 28 people. How many people will a 30-pound turkey serve?

Solution

Problem 3 :

Write a proportion and solve. A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?

Solution

Problem 4 :

There are 6 cups of detergent in a bottle. If 1/3 cup is need for 1 load of laundry, how many loads can be cleaned with one bottle of detergent?

Solution

Problem 5 :

Write a proportion based on the following information: “The directions on a bottle of fuel additive call for pouring in 12 ounces of additive to each 16 gallons of fuel. How many gallons of fuel will 9 ounces treat?”

Solution

Problem 6 :

Susan baked 2 dozen cookies. If the recipe called for 3/4 cup of sugar, how much sugar would she need to bake 4.5 dozen cookies ?

Solution

Problem 7 :

Carol can type 660 words in 12 minutes. How many words can she type in 40 minutes?

Solution

Problem 8 :

Thirty six pencils are packed in three boxes. How many pencils are packed in five boxes ?

Solution

Problem 9 :

If it costs $13.50 for 5 notebooks, how much will it  cost 8 notebooks?

Solution

Problem 10 :

Janet made 48 cookies. She used 1,104 chocolate chips for all of the cookies. How many chocolate chips were in each cookie?

Solution

Problem 11 :

There are 18,480 feet in 3.5 miles. How many feet are in one mile?

Solution

Problem 1 :

3/5 = x/20

Solution

Problem 2 :

x/18 = 2/9

Solution

Problem 3 :

8/x = 3.2/4

Solution

Problem 4 :

x/45 = 16/40 = 24/y

Solution

Problem 5 :

16/36 = x/63 = 36/y = z/117

Solution

Problem 6 :

20m : 70m = $8 : $x

Solution

Problem 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

Problem 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