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?

Answer 1

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.