SOLUTION: a theater sold 900 tickets to a play. floor seats cost $ 12 each and balcony seats $ 10 each. total receipts were $ 9780. how many of each type of tickets were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a theater sold 900 tickets to a play. floor seats cost $ 12 each and balcony seats $ 10 each. total receipts were $ 9780. how many of each type of tickets were sold?      Log On


   

Question 365919: a theater sold 900 tickets to a play. floor seats cost $ 12 each and balcony seats $ 10 each. total receipts were $ 9780. how many of each type of tickets were sold?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a theater sold 900 tickets to a play. floor seats cost $ 12 each and balcony seats $ 10 each. total receipts were $ 9780. how many of each type of tickets were sold?
..
floor seats x ---- $12
balcony seats 900-x ---$10
..
Total receipts = 9780
..
12x+10(900-x)=9780
12x+9000-10x=9780
2x=9780-9000
2x=780
/2
x=390 ---- floor tickets
balcony seats ---510 tickets
m.ananth@hotmail.ca