# HOW TO SOLVE A PROPORTION WORD PROBLEMS

## About "How to solve a proportion word problems"

How to solve a proportion word problems :

Here we are going to see how to solve proportion word problems.

Example 1 :

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

Writing the given details in the proportion we get,

1 : 2 :: x : 10

1(10)  =  2x

2x  =  10

x  = 10/2  =  5

Example 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

Hence the height of the resized rectangle is 4 inches

Example  3 :

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

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 cantaloupe that we buy

Writing the given details in the proportion we get,

1 : 2 :: x : 6

1(6)  =  2(x)

6  =  2x

x  = 6/2  =  3

Example 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?

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

Hence she will get 18 Tala, if she exchange \$6.

Example 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

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

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