SOLUTION: adult tickets for a play cost $15 and child tickets cost $1. If there were 30 people at a performance and the theater collected $268 from ticket sales, how many adults and how many

Question 82544: adult tickets for a play cost $15 and child tickets cost $1. If there were 30 people at a performance and the theater collected $268 from ticket sales, how many adults and how many children attened the play?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
15A+1C=268
A+C=30, A=30-C NOW SUBSTITUTE (30-C) FOR A IN THE FIRST EQUATION WE GET:
15(30-C)+C=268
450-15C+C=268
-14C=268-450
-14C=-182
C=-182/-14
C=13 NUMBER OF CHILDREN TICKETS SOLD.
A+13=30
A=30-13
A=17 NUMBER OF ADULT TICKETS SOLD.
PROOF
15*17+13*1=268
255+13=268
268=268
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