Asked by rosie <3

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.
A. 2 children, 9 adults
B. 4 children, 7 adults
C. 5 children, 6 adults
D. 7 children, 4 adults
Answered by mathhelper
a + c = 11 ----> c = 11-a
22a + 15c = 228
sub c = 11-a into this equation
22a + 15(11-a) = 228

solve this equation for a, then sub into c = 11-a

or...

you could just test each of the given answers.
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