Question

The ratio of the number of girls to that of boys in a school is $9:11$.If the number of boys in the school is $2035$, find:

The number of students in the school

Answer 1

Given that ratio of the number of girls to that of boys in a school $=$ $9:11$

Number of boys in the school $=$ $2035$

Let number of girls in the school $=$$x$

Then,

$\Rightarrow \frac{Numberofgirls}{Numberofboys}=\frac{9}{11}$

$$\begin{gathered} \Rightarrow \frac{x}{2035}=\frac{9}{11} \\ \Rightarrow x=\frac{9\times 2035}{11} \\ \Rightarrow x=1665 \end{gathered}$$

Total number of students in the school$=$ Number of boys in the school $+$ Number of girls in the school

$$\begin{gathered} =2035+1665 \\ =3700 \end{gathered}$$

Hence, the number of students in the school is $3700$