#### Question

There are 36 members in a student council in a school and the ratio of the number of boys to the number of girls is 3: 1. How any more girls should be added to the council so that the ratio of the number of boys to the number of girls maybe 9: 5?

#### Solution

A ratio of number of boys to the number of girls = 3: 1

Let the number of boys be 3x and the number of girls be x.

3x + x = 36

4x = 36

x = 9

∴ Number of boys = 27

Number of girls = 9

Le n number of girls be added to the council.

From given information, we have:

`27/(9 + n) = 9/5`

`135 = 81 + 9n`

9n = 54

n = 6

Thus 6 girl are added to the council

Is there an error in this question or solution?

Solution There Are 36 Members in a Student Council in a School and the Ratio of the Number of Boys to the Number of Girls is 3: 1. How Any More Girls Should Be Added to the Council So that the Ratio of the Number of Boys to the Number of Girls May Be 9: 5? Concept: Ratios.