Question

In a school, the ratio of the number of boys to the number of girls is $17:12.$ If there are $168$girls, the total number of students in the school are :

• A. $406$
• B. $318$
• C. $420$
• D. $418$

Answer 1

The correct option is A

$406$

The number of boys and number of girls is in the school are $17x\&12x$respectively.

The number of girls in the school $=168$

$$\begin{gathered} \therefore 168=12x \\ \Rightarrow x=\frac{168}{12} \\ x=14 \end{gathered}$$

The total number of students $=$The number of boys $+$The number of girls

$$\begin{gathered} =17x+12x \\ =29x \\ =29\times 14 \\ =406 \end{gathered}$$

Hence, the total number of students in the school is $406.$

Hence, the correct option is A.