Question

The boys and the girls in a school are in the ratio 9:5. If total strength of the school is 448,find the number of girls.​

Answer 1

Answer:

Given

Number of boys : number of girls =9:5

Total strength =448

Let number of boys be 9x

Number of girls be 5x

According to the equation we have,

9x+5x=448

⇒14x=448

⇒x=

14

448

⇒x=32

∴ 160

Answer 2

As per the data given in the above question.

The total number of students are 448,

The ratio is 9:5

We have to find the number of girls.​

Let the ratio be as 9x and 5x,

The total sum of students are 448,

So,

$9x+5x=448\\14x=448$

Shifting constant to RHS we get,

$x=\frac{448}{14}\\x=32$

Therefore the numbers of boys and girls in ratio are as below,

Boys $9x=9\times 32=288$

Girls $5x=5 \times 32=160$

Hence the number of girls is 160.