SOLUTION: A local theatre sold 750 seats for an upcoming play. Ticket prices for adults are $49.00 and ticket prices for children are $33.00. If the theatre made $30,510.00 for the show, how

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A local theatre sold 750 seats for an upcoming play. Ticket prices for adults are $49.00 and ticket prices for children are $33.00. If the theatre made $30,510.00 for the show, how      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 800895: A local theatre sold 750 seats for an upcoming play. Ticket prices for adults are $49.00 and ticket prices for children are $33.00. If the theatre made $30,510.00 for the show, how many adult and children attended?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= Number of Adults
y= Number of Children

1 x + 1 y = 750 .............1
Total value
49 x + 33 y = 30510 .............2
Eliminate y
multiply (1)by -33
Multiply (2) by 1
-33 x -33 y = -24750
49 x + 33 y = 30510
Add the two equations
16 x = 5760
/ 16
x = 360
plug value of x in (1)
1 x + 1 y = 750
360 + y = 750
y = 750 -360
y = 390
y = 390
x= 360 Number of Adults
y= 390 Number of Children
m.ananth@hotmail.ca