SOLUTION: 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 ar

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: 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 ar      Log On

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 Question 364002: 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 a theater?Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!let x=# orchestra seats, so 650 - x =# balcony seats. Then 20x + 12(650 - x) = 11600. 20x - 12x = 11600 - 7800, 8x = 3800, x = 475 orchestra tickets, and 175 balcony tickets.