**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.

**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?

**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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