Question

The Number Of Boys And Girls In A Class Are In The Ratio $7:5.$ The Number Of Boys Is $8$ More Than The Number Of Girls. What Is The Total Class Strength?

Answer 1

The Number Of Boys And Girls In A Class Are In The Ratio $7:5.$

The Number Of Boys Is $8$More Than The Number Of Girls.

Let us consider,

the number of girls$=x$

the number of boys $=x+8$

According to the equation,

$\frac{(x+8)}{x}=\frac{7}{5}$

$$\begin{gathered} =5(x+8)=7x \\ =5x+40=7x \\ =40=7x–5x \\ =40=2x \\ =20=x \end{gathered}$$

The number of girls $=20$

The number of boys $=x+8$

$=20+28=48$

Therefore, the total strength of the class$48$