Mathematics

Jaydin Kaiser

5 March, 15:17

A Broadway theater has 700700 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma$40, main seats for $ 30 comma$30, and balcony seats for $ 20.$20. If all the seats are sold, the gross revenue to the theater is $ 20 comma 100.$20,100. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 17 comma 300.$17,300. How many are there of each kind of seat?