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.

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Solution

Ratio of spectators in the open $= 1 - \frac{2}{7}$
$= \frac{5}{7}$
Total number of spectators in the open = x
Then, $\frac{5}{7} \times x = 15000$
$\Rightarrow x = 15000 \div \frac{5}{7}$

$= 15000 \times \frac{7}{5} = \frac{15000}{1} \times \frac{7}{5} = \frac{15000 \times 7}{1 \times 5} = \frac{10500}{5} = 21000$

Hence, the total number of spectators is 21,000

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At a cricket test match 27 of the spectators were in a covered place while 15000 were in open. Find the total number of spectators.

Ratio of spectators in the open =1-27 =57 Total number of spectators in the open = x Then,57×x=15000 ⇒x=15000÷57 =15000×75=150001×75=15000×71×5=105005=21000 Hence, the total number of spectators is 21,000

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.