Question

The number of boys and girls in a class are in ratio of 9:5. the number of girls is 12 less than boys what is the total strength of the class?

Answer 1

Given :

• The number of boys and girls in a class are in ratio of 9:5. the number of girls is 12 less than boys

To find :

• the total strength of the class

Solution :

We know that the number of boys and girls are in ratio 9:5

Let the number of boys be 9x and the number of girls be 5x.

Now, 9x = 5x + 12

Transposing 5x to L.H.S., we get

9x - 5x = 12

4x = 12

x = 12/4

x = 3

Thus, the required number of boys

= 9 x 3

= 27

and the required number of girls

= 5 x 3

= 15

Hence, total number of students

= 27 + 15

= 42

Answer 2

Question

The number of boys and girls in a class are in ratio of 9:5. the number of girls is 12 less than boys what is the total strength of the class?

To find

Total strength of class

Answer

Lets the ratio be 'x'

Put in equation

9x = 5x + 12

9x -5x = 12

4x = 12

x = 3

Thus the number of boys = 9 × 3 = 27

Thus the number of girl of girls = 27 - 12 = 15

Total strength = 27 + 15 = 42

$hope it helps$