Question

The drama club sold 320 adults tickets and 153 student tickets for their last performance. Adult tickets cost 75 cents more than student tickets. If the total receipts were $949.50,what was the price of each ticket?

Answer 1

Mark the price of a single student ticket with x. Then, make the following equation:
$153x + 320(0.75 + x) = 949.50 \\ 153x + 320x + 240 = 949.50 \\ 473x =949.50 - 240 \\ 473x = 709.50 \\ x = 709.50 \div 473 \\ x = 1.5$
Then, one student ticket costs $ 1.5 and the adult ticket costs $0.75 more, or
1.5 + 0.75 = 2.25
Each student ticket costs $ 1.5 and each adult ticket costs $ 2.25