Question 110524
Adult tickets for a play cost $13 and child tickets cost $10.  If there were 22 people at a performance and the theater collected $277 from ticket sales, how many adults and how many children attended the play?
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A+C=22
13A+10C=277
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A=22-C
13(22-C)+10C=277
286-13C+10C=277
-3C=-9
C=3
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3 children 
19 adults
:)