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 and solve a system of equations that would tell you how many of each seat there is in the theater.

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