Question 301109
A theater has 650 seats. After one sell-out performance, the theater made $11,600. If orchestra seats cost $20 each and balcony seats cost $12, how many orchestra and balcony seats are there in the theater?


let orchestra seats be x
AND balcony seats  y

20x+12(650-x)= 11600

20x+7800-12x=11600

8x=11600-7800

8x=3800

x=475 - orchestra seats

Balance 175 will be balcony seats