SOLUTION: A broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main for $35, and balcony for $25. If all the seats are sold, t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main for $35, and balcony for $25. If all the seats are sold, t      Log On

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Question 315796: A broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main for $35, and balcony for $25. If all the seats are sold, the gross revenue is $20,800. If all of the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,800. How many are there of each kind of seat?
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
6000/50=120 orchestra
m+b=480 b=480-m
35m+25b=14800
35m+25(480-m=14800
35m+12000-25m=14800
10m=2800
m=280 main
balcony = 200