One night a theatre sold 650 movie tickets. An adult ticket cost 5.50 and a child ticket cost 2.50. in all the theatre raised a total of 2462. How many of each kind of ticket was sold.

Question

The answers are 308 adult tickets and 342 child tickets, 198 adult tickets and 452 child tickets, 279 adults tickets and 371 child tickets, 264 adult tickets 386 child tickets

Answer 1

correct answer is 279 adult tickets and 371 child tickets

5.5A + 2.5C = 2462, A+C=650, 2.5A + 2.5C = 1625

2.5A + 2.5C = 1625, subtract to get

3A = 837

A = 837/3 = 279 adult tickets

C=650-279= 371 child tickets

Answer 2

Adult tix - 5.50

Chikd Tix - 2.50

Total Movie Tix - 650

5.50x + 2.50(650-x) = 2462

5.50x + 1625 - 2.50x = 2462

3x + 1625 = 2462

3x = 837

x = 279 Adult tickets

650-279 = 371 Child Tickets