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

Total number of seats = 820

Sale of total tickets = 648

Number of sold tickets guessed by first usher

= 3/4 of 820 = 3/4 x 820 = 615

Number of sold tickets guessed by second usher

= 2/3 of 820 = 2/3 x 820

= 1640 = 546.66 ≈ 547

Since, 615 is more close to 648 than 547.

∴ First usher made the better guess.