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

Let the number of boys be $‘7n’$ and girls be $‘5n’$.

According to the given details the equation becomes

$$\begin{gathered} 7n=5n+8 \\ 7n–5n=8 \\ 2n=8 \\ n=\frac{8}{2} \\ n=4 \end{gathered}$$

Therefore, Number of boys $=7\times 4=28$

And, Number of girls $=5\times 4=20$

Total number of students $=20+28=48$

The total strength of the class $=48$

Hence, the required answer is $48$ .