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