Question

The school that Ted goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 12 adult tickets and 11 child tickets for a total of $234. The school took in $164 on the second day by selling 7 adult tickets and 11 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answer 1

12a + 11c = 234
7a + 11c = 164.....multiply by -1
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12a + 11c = 234
-7a - 11c = - 164 (result of multiplying by -1)
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5a = 70
a = 70/5
a = 14 <== adult tickets cost $ 14

7a + 11c = 164
7(14) + 11c = 164
98 + 11c = 164
11c = 164 - 98
11c = 66
c = 66/11
c = 6 <=== child tickets cost $ 6