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A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $80, main seats for $65, and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $24,200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $21,000. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.

A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $80, main seats for $65, and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $24,200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $21,000. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $80, main seats for $65, and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $24,200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $21,000. 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 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $80, main seats for $65, and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $24,200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $21,000. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.
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