Question

At a cricket test match $\frac{2}{7}$ of the spectators were in a covered place while $15000$ were in open. Find the total number of spectators

Answer 1

Let the total number of spectators be $x$.

Therefore,

number of spectators in covered place$=\frac{2}{7}x$

number of spectators in open place$=15000$ [Given]

So we have

number of spectators in covered place$+$ number of spectators in open place$=$total number of spectators

$\frac{2}{7}x+15000=x$

$$\begin{gathered} \Rightarrow x-\frac{2}{7}x=15000 \\ \Rightarrow \frac{7x-2x}{7}=15000 \\ \Rightarrow \frac{5x}{7}=15000 \\ \Rightarrow x=\frac{15000x7}{5} \\ \Rightarrow x=21000 \end{gathered}$$

Hence, total number of spectators is $21000$