The ticket sales at a movie theater 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

4789=11A + 9S

S=2A-35

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

29A = 4789+315 = 5104

A = 5104/29 = 176 Adult

S= 352-35 = 317 Senior

11(176) + 9(317) = 1936+ 2853= 4789