Question

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a system of equations to find how many children and how many adults were in the group.

Answer 1

22a+15c=228
a+c=11

a=11-c

22(11-c) + 15c = 228

242-22c + 15c = 228

-7c=-14

C = 2 (two children)

Remember how a + c = 11

a + 2 = 11

A= 9

9 adults, 2 children.