The ticket sales at a movie theater were $4,789. Adult tickets are $11, and senior tickets are $9. The number of senior tickets sold was 35 less than twice the number of adult tickets.

Question

The ticket sales at a movie theater were $4,789. Adult tickets are $11, and senior tickets are $9. The number of senior tickets sold was 35 less than twice the number of adult tickets. Determine the number of adult tickets and senior tickets sold.

Answer 1

S=2A-35

11A+9S = 4789

11A +9(2A-35) = 4789

29A = 4789 +315 = 5104

A =5104/29 = 176 Adults

S = 2(176)-35 = 352-35 = 317 Senior

check the solution

11(176)+9(317)

= 1936+2853

=4789