Question

The school that Lisa goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 6 child tickets for a total of $130. The school took in $280 on the second day by selling 10 adult tickets and 12 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answer 1

adult $10 Children $15

Explanation:

4A + 6C = 130

10A + 12C = 280

Multiply the first by -2 to eliminate C

-8A -12C = - 260

10A +12C = 280

ADD BOTH

2A = 20

A=10 ($10 per adult)

40+6C = 130

6C = 90

C=15 (15 per child)