Question

a comedy club earns $1088 from an opening night performance and $1183 from a second performance. on opening night the club sells 68 adult tickets sand 136 student tickets. on the second night the club sells 79 adult tickets and 140 student tickets what is the price of each ticket

Answer 1

student tickets cost $4.50

adult tickets cost $7.00

Explanation:

a = cost of an adult ticket

s = cost of a student ticket

(1) 68a + 136s = 1088

(2) 79a + 140s = 1183

solve (1) for a:

68a = 1088 - 136s

a = 16 - 2s substitute this into (2):

79(16-2s) + 140s = 1183

1264 - 158s + 140s = 1183 solve for s:

-18s = -81

s = -81/-18 = 4.50 plug this into either equation 1 or 2 to solve for a:

68a + 136(4.50) = 1088

68a = 1088 - 612 = 476

a = 476/68 = 7.00