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35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.

35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
Problem 4OE
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35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.
Transcribed Image Text:35. A Broadway theater has 500 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $150, main seats for $135, and balcony seats for $110. If all the sets are sold, the gross revenue to the theater is $64,250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $56,750. Set up but do not solve a system of equations that would tell you how many of each seat there is in the theater.
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