SOLUTION: A theatre contains 446 seats and the ticket prices for a recent play were $49 for adults and $26 for children. if the total proceeds were $15,299 for a sold out matinee how many of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A theatre contains 446 seats and the ticket prices for a recent play were $49 for adults and $26 for children. if the total proceeds were $15,299 for a sold out matinee how many of      Log On


   

Question 1127538: A theatre contains 446 seats and the ticket prices for a recent play were $49 for adults and $26 for children. if the total proceeds were $15,299 for a sold out matinee how many of each type of ticket were sold?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
49A+26C=15299 (eq1)
A+C = 446 (eq2)
C=446-A (substitute this into eq1)
49A+26(446-A)=15299
49A+11596-26A=15299
23A=15299-11596
23A= 3703
A = 161
C=446-161= 285

161 Adult, 285 Children