The ticket sales at a movie theater were $3,864

Question

The ticket sales at a movie theater were $3,864. Adult tickets are $12, and senior tickets are $11. The number of senior tickets sold was 32 less than half the number of adult tickets. Determine the number of adult tickets sold and senior tickets sold.

Answer 1

S = number of senior tickets

A = number of adult tickets

number of senior tickets sold 32 less than half the number of adult tickets.

S = A/2 - 32 (equation 1)

Sales of senior tickets: S*12

Sales of adult tickets: A*11

Total Sales: S*12 + A*11 = 3864 (equation 2)

Substitute A/2 - 32 for S from equation 1 into equation 2 and solve for A, then use equation 1 to determine S.