Pollard Moreno

05/16/2023 · Junior High School

A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for \( \$ 60 \), main seats for \( \$ 40 \), and balcony seats for \( \$ 30 \). If all the seats are sold, the gross revenue to the theater is \( \$ 16,200 \). If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is \( \$ 13,800 \). How many are there of each kind of seat? There are \( \square \) orchestra seats, \( \square \) main seats, and \( \square \) balcony seats.