SOLUTION: Adult tickets for a play cost $18 and child tickets cost $14. If there were 26 people at a performance and the theater collected $396 from ticket sales, how many children attended

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Question 72774: Adult tickets for a play cost $18 and child tickets cost $14. If there were 26 people at a performance and the theater collected $396 from ticket sales, how many children attended the play?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=26, A=26-C NOW SUBSTITUTE (26-C) FOR A IN THE FOLLOWING FORMULA
18A+14C=396
18(26-C)+14C=396
468-18C+14C=396
-4C=396-468
-4C=-72
C=-72/-4
C=18 CHILDREN TICKETS SOLD
A+18=26
A=26-18
A=8 ADULT TICKETS SOLD
PROOF
18*8+14*18=396
144+252=396
396=396