SOLVING WORD PROBLEMS USING PROPORTION WORKSHEET

Solving Word Problems using Proportion Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice solving word problems using proportion.

Solving Word Problems using Proportion Worksheet - Problems

Problem 1 :

If you can buy one can of pineapple chunks for \$2 then how many can you buy with \$10?

Problem 2 :

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

Problem 3 :

One cantaloupe costs \$2. How many cantaloupes can you buy for \$6?

Problem 4 :

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for \$2. How many Tala would she get if she exchanged \$6?

Problem 5 :

Jasmine bought 32 kiwi fruit for \$16. How many kiwi can Lisa buy if she has \$4?

Solving Word Problems using Proportion Worksheet - Solutions

Problem 1 :

If you can buy one can of pineapple chunks for \$2 then how many can you buy for \$10?

Solution :

From the given information, we come to know that number of cans of pineapple chunks to the cost of its are in the ratio 1 : 2.

Let x be the number of cans you can buy for \$10.

Writing the given details in the proportion we get,

1 : 2 :: x : 10

1(10)  =  2x

2x  =  10

x  =  5

So, you can buy 5 cans for \$10.

Problem 2 :

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

Solution :

From the given information, we come to know that the  ratio of the width of the rectangle to the height of the rectangle are in the ratio 2 : 1

Since the original rectangle is in the ratio 2 : 1, the new resized rectangle will also be in the same ratio.

Let x be the height of the resized rectangle

24 : 12 :: 2 : x

24 (2) = 12x

x  =  24 (2)/12

x  =  48/12

x  =  4

So, the height of the resized rectangle is 4 inches.

Problem 3 :

One cantaloupe costs \$2. How many cantaloupes can you buy for \$6?

Solution :

From the given information, the ratio between the number of cantaloupes and its cost is 1 : 2.

Let x be the number of cantaloupe you can buy for \$6.

Writing the given details in the proportion we get,

1 : 2 :: x : 6

1(6)  =  2(x)

6  =  2x

x  =  3

So, you can buy 3 cantaloupes for \$3.

Problem 4 :

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for \$2. How many Tala will she get, if she exchanges \$6?

Solution :

From the given information, we come to know that exchange rate of Tala to the Dollar is in the ratio 6 : 2.

Let x be the number of Tala that she would expect

6 : 2 :: x : 6

6(6) = 2(x)

2x = 36

x  =  36/2

x  =  18

So, she will get 18 Tala, if she exchanges \$6.

Problem 5 :

Jasmine bought 32 kiwi fruit for \$16. How many kiwi can Lisa buy if she has \$4?

Solution :

From the given information, we come to know that number of kiwi fruits to the cost is in the ratio 32 : 16.

Let "x" be the number of kiwi that Lisa buy for \$4.

32 : 16 :: x : 4

32 (4)  =  16(x)

16x  =  32(4)

x  =  128/16

x  =  8

So, Lisa can buy 8 kiwi fruits for \$4.

After having gone through the stuff given above, we hope that the students would have understood, how to solve word problems using proportion.

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