SOLUTION: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at the performance and the theater collected $364 from ticket sales, how many adults and how ma

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Question 82777: Adult tickets for a play cost $17 and child tickets cost $2. If there were 32 people at the performance and the theater collected $364 from ticket sales, how many adults and how many children attended the play?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=32 THEN C=32-A
17A+2C=364
17A+2(32-A)=364
17A+64-2A=364
15A=364-64
15A=300
A=300/15
A=20 NUMBER OF ADULT TICKETS SOLD.
20+C=32
C=32-20
C=12 NUMBER OF CHILDREN TICKETS SOLD.
PROOF
17*20+2*12=364
340+24=364
364=364