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Question
A picture hall has seats for 820 persons. At a recent film show, one usher guessed it was `3/4` full, another that it was `2/3` full. The ticket office reported 648 sales. Which usher (first or second) made the better guess?
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Solution
Given, picture hall has seats = 820
One usher guessed picture hall was `3/4` full.
∴ `3/4` of 820 = `3/4 xx 820`
= `(3 xx 820)/4`
= `2460/4`
= 615
Another usher guessed picture hall was `2/3` full.
∴ `2/3` of 820 = `2/3 xx 820`
= `(2 xx 820)/3`
= `1640/3`
= 546.66
Since 648 tickets are sold that is nearly 615.
So first usher guess was better.
Notes
In many situations, we solve our problems by approximation or guessing.
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