Question

In a School, the ratio between the number of girls to the number of boys is $10:11$ If the number of boys is $1067$, find the number of girls in the school.

Answer 1

Let the Number of girls in the school is $x$

Then the ratio between the number of girls to the number of boys is $x:1067$

It is given that, the ratio between the number of girls to the number of boys is $10:11$

Then, both the ratio must be equal

So,

$$\begin{gathered} \Rightarrow x:1067=10:11 \\ \Rightarrow \frac{x}{1067}=\frac{10}{11} \\ \Rightarrow x=\frac{10\times 1067}{11} \\ \Rightarrow x=10\times 97 \\ \Rightarrow x=970 \end{gathered}$$

Hence, the number of girls in the school is $970$