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

Let total number of spectators = 1

No. of spectators in covered place = $\frac{2}{7} o f 1 = \frac{2}{7}$

$Balance = 1 - \frac{2}{7} = \frac{7 - 2}{7} = \frac{5}{7}$

$∴ \frac{5}{7}$ of total spectators = 15000

$∴$ Total number of spectators

$= 15000 \div \frac{5}{7} = 15000 \times \frac{7}{5} = \frac{105000}{5} = 21000 A n s .$

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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.

Let total number of spectators = 1 No. of spectators in covered place = 27 of 1 = 27 Balance =1−27=7−27=57 ∴ 57 of total spectators = 15000 ∴ Total number of spectators =15000÷57=15000×75=1050005=21000 Ans.

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