SOLUTION: adult tickets to a play cost 22$. Childrens Tickets cost $15. Tickets to a group of 11 people cost 228$. write and solve a system of equations to find out how many students and

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Question 699691:
adult tickets to a play cost 22$. Childrens Tickets cost $15. Tickets to a group of 11 people cost 228$. write and solve a system of equations to find out how many students and adults went to the play.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=11
A=11-C
22A+15C=228
22(11-C)+15C=228
242-22C+15C=228
-7C=228-242
-7C=-14
C=-14/-7
C=2 CHILDREN TICKETS WERE SOLD.
A=11-2
A=9 ADULT TICKETS WERE SOLD.
PROOF:
22*9+15*2=228
198+30=228
228=228