Question

Question 91

A picture hall has seats for 820 persons. At a recent film show, one usher guessed it was $\frac{3}{4}$ full, another that it was $\frac{2}{3}$ 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 $\frac{3}{4}$ full
$\therefore \frac{3}{4}of820=\frac{3}{4}\times 820=\frac{3\times 820}{4}=\frac{2460}{4}=615$
Another usher guessed , picture hall was $\frac{2}{3}$ full
$\therefore \frac{2}{3}of820=\frac{2}{3}\times 80=\frac{2\times 820}{3}\frac{1640}{3}=546.66$
Since 648 tickets are sold that is near to 615.
So first usher guess was better.