SOLUTION: Adult tickets for a play cost $4 and child tickets cost $1. If there were 23 people at a performance and the theater collected $80 from ticket sales, how many children attended th

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Adult tickets for a play cost $4 and child tickets cost $1. If there were 23 people at a performance and the theater collected $80 from ticket sales, how many children attended th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 89429: Adult tickets for a play cost $4 and child tickets cost $1. If there were 23 people at a performance and the theater collected $80 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=23 A=23-C
4A+1C=80 NOW SUBSTITUTE (23-C) FOR A & SOLVE FOR C
4(23-C)+1C=80
92-4C+1C=80
-3C=80-92
-3C=-12
C=-12/-3
C=4 NUMBER OF CHILDREN TICKETS.
23-4=19 ADULT TICKETS.
PROOF
4*19+4*1=80
76+4=80
80=80