Question

A community center sells a total of 305 tickets for a basketball game. An adult ticket costs ​$5. A student ticket costs ​$1. The sponsors collect ​$693 in ticket sales. Find the number of each type of ticket sold.

Answer 1

Answer: student tickets = 208

Adult tickets = 97

Explanation:

x + y = 305

x = 305 - y

5x + y = 693

Substituting

5 (305 - y) + y = 693

1525 - 5y + y = 693

-4y = -832

y = 832 / 4 = 208