A Broadway theater has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $17,600. If al main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $15,100. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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A Broadway theater has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $17,600. If all the
main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $15,100. How many are there of each kind of seat?
There are orchestra seats,
main seats, and
balcony seats.
Transcribed Image Text:A Broadway theater has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $17,600. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $15,100. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.
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