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Mathematics, 12.02.2021 14:00 21ltilley

A broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $60, main seats $50, balcony seats $30. If all the seats are sold, the gross revenue to the theater is $18,400. If all main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $16,000. How many are there of each kind?

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