SOLUTION: Please solve the question: Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales

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Question 70483: Please solve the question:
Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play?

Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
A+C=23 A=23-C
9A+8C=193
9(23-C)+8C=193
207-9C+8C=193
-C=193-207
-C=-14
C=14 CHILDREN TICKETS SOLD
A+14=23
A=23-14
A=9 ADULT TICKETS SOLD
PROOF
9*9+14*8=193
81+112=193
193=193

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