The ticket sales at a movie theater were $6,340. Adult tickets are $15, and senior tickets are $10. The number of senior tickets sold was 38 less than twice the number of adult tickets.

Question

The ticket sales at a movie theater were $6,340. Adult tickets are $15, and senior tickets are $10. The number of senior tickets sold was 38 less than twice the number of adult tickets. Determine the number of adult tickets and senior tickets sold.

Answer 1

S= 2A -38

S-2A = -38

10S +15A = 6340

10S - 20A =-380

subtract to get

35A = 6720

A = 6720/35 = 192 Adults

S=2A-38=2(192)-38 = 346 Seniors

10(346)+15(192)

= 3460 + 2880

= 6340