At a theater, the price of 4 adult tickets and 3 child tickets is $156. The price of 3 adult tickets and 4 child tickets is $145. what is the ticket price for one adult and one child?

Answer 1

4a + 3c = 156

3a + 4c = 145

3(4a + 3c = 156) 12a + 9c = 468

4(3a + 4c = 145) 12a + 16c = 580

12a + 9c = 468

-(12a + 16c = 580)

-7c = -112

c = 16

a = 27