SOLUTION: A theatre contains 421 seats and the ticket prices for a recent play were $57 for adults and $26 for children. If the total proceeds were $15,968 for a sold-out matinee. How many

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A theatre contains 421 seats and the ticket prices for a recent play were $57 for adults and $26 for children. If the total proceeds were $15,968 for a sold-out matinee. How many      Log On


   

Question 1065799: A theatre contains 421 seats and the ticket prices for a recent play were $57 for adults and $26 for children. If the total proceeds were $15,968 for a sold-out matinee. How many of each type of ticket were sold?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=421
57A+26C=15968
multiply top by -26
-26A-26C=-10946
add
31A=5022
A=162 adults @ $57=$9234
C=259 children @ $26=$6734
Add up to $15,968