Question

Tickets to a Broadway show cost $40 for adults and $25 for children. The total receipts for 1600 tickets at one performance were $56,050. How many adult and how many child tickets were sold

Answer 1

Let a be the cost of an adult ticket and c be the cost of a child's ticket.

40a + 25c = 56,050--->40a + 25c = 56,050

a + c = 1600-------------->40a + 40c = 64,000

----------------------------

15c = 7,950

c = 530, a = 1,070

530 child tickets, 1,070 adult tickets