Question

Mark (✓) against the correct answer
The boys and girls in a school are in the ratio 8 : 5. If the number of girls is 160, what is the total strength of the school?

(a) 250
(b) 260
(c) 356
(d) 416

Answer 1

(d) 416

Let x be the number of boys.
Then, 8 : 5 = x : 160

$$\begin{gathered} \Rightarrow \frac{8}{5}=\frac{x}{160} \\ \Rightarrow x=\frac{8\times 160}{5}=256 \\ \therefore \mathrm{Total}\mathrm{strength}\mathrm{of}\mathrm{the}\mathrm{school}=256+160=416 \end{gathered}$$