
Carol H. answered 12/13/17
Tutor
4.9
(285)
Masters' Degree in Mathematics with 35 years Teaching Experience.
Let a = the cost of an adult ticket
Let c = the cost of a child ticket
2a + 11c = 120.50 Multiply this equation by 3; multiply the second equation by -2; add them together.
3a + 7c = 100
6a + 33c = 361.50
-6a -14c = -200
19c = 161.50
c = $8.50
2a + 11(8.50) = 120.50
2a + 93.50 = 120.50
2a = 27
a = $13.50