PICTURES: This Is How To Solve Ratio With Examples In An Easy And Simplified Way

 More Examples On Ratio

We started ratio this week and we've learnt some interesting examples on ratio. Interested in the previous lesson? click here to see previous lesson on ratio and also view our table of content here

Example 4

In a school gathering, the ratio of boys to girls was 4: 5. There were 32 boys.

(a) How many are girls?

(b) How many people were there altogether?

(c) What is the ratio of;

      i. Girls to boys

      ii. Girls to total people

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                              Solution

Parameters 

Ratio

Boys = 4

Girls = 5

Total = 4 + 5 = 9

Nõ of students

Boys = 32

Girls = ? (G)

Total = ? (T)

To start with, lets find the total number of students (T) by solving the ratio of boys in the normal way.

Total nõ of boys = (ratio of boys/Total ratio) x Total number of students

32 = (4/9) x T

32 = 4T/9

4T = 32 x 9

4T = 288

Divide both sides by 4

Hence, T = 72

Total number of students = 72

(a) How many are girls?

In a school, we all know it consists of boys and girls. We know boys to be 32 and the total number of students to be 72

Total nõ of students =Boys + Girls

72 = 32 + G

Collect like terms

G = 72 - 32

G = 40

Therefore total nõ of girls = 40

(b) How many people were there altogether?

That is total number of students which is 72

(c) What is the ratio of;

      i. Girls to Boys

Ratio of girls = 5

Ratio of boys = 4

= 5 : 4 (respectively)

      ii. Girls to total people

Ratio of girls = 5

Ratio of total people = 72

= 5 : 72 (respectively)

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