Question

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?

Answer 1

There are about 158 seats each