Tickets to the show cost $5 for adults and $3 for children. The show sold 30 tickets for a total of $110. How many of each type of ticket were sold?

Answer 1

5A + 3C = 110

A + C = 30

3A + 3C = 90

subtract last equation from the 1st to get

2A = 20

A = 20/2 = 10 adult tickets

C 30-10 = 20 child tickets

5(10) + 3(20) = 110

50 + 60 = 110