Find the price of an adult ticket and the price of a child ticket.

Question

The school that Brenda goes to is selling tickets to a play. On the first day of ticket sales the school sold 5 adult tickets and 3 child tickets for a total of $87. The school took in $141 on the second day by selling 7 adult tickets and 9 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answer 1

5A + 3C = 87 multiply by 3

15A + 9C = 261

7A + 9C = 141 subtract

8A = 120

A = 120/8 = 15 adult tickets

C = (87-5(15))/3 = (87-75)/3 = 12/3 = 4 child tickets

Answer 2

5A + 3C = 87 multiply by 3

15A + 9C = 261

7A + 9C = 141 subtract

8A = 120

A = 120/8 = 15 adult tickets

C = (87-5(15))/3 = (87-75)/3 = 12/3 = 4 child tickets