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

Adults = 9

Children = 2

Let x be the number of adults.

11-x is the number of children.

22x + 15 (11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9 number of adults.

11 - x = 11 - 9 = 2 number of children.

To check:

22x + 15 (11-x) = 228

22 (9) + 15 (11-9) = 228

198 + 30 = 228

228 = 228