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Question 72933: 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 ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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?
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Let A = number of adults, C = number of kids
;
Write an equation for what it says, "26 people at the performance"
A + C = 26
or
A = (26-C); we can use this for substitution
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"Adult tickets cost $18 and child tickets cost $14. and they collected $396"
18A + 14C = 396
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Substitute (26-C) for A in the above equation and solve for C:
18(26-C) + 14C = 396
:
468 - 18C + 14C = 396
:
-18C + 14C = 396 - 468
:
-4C = -72
:
C = -72/-4
:
C = 18 children attended
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Check our solution:
that means 26-18 = 8 adults attended
18(8) + 14(18) =
144 + 252 = 396, check out our solution
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