**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.

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

Apart from the stuff given above, if you want to know more about "How to solve a proportion word problems", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**