The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 97 balcony tickets and 31 general admission floor tickets for Friday's show, for a total of $4,585 in receipts. For Saturday's show, 97 balcony tickets and 44 general admission floor tickets have been sold, equaling $4,962 in receipts. How much does each ticket cost?

97b+31g = 4585

97b+44g = 4962
subtract to get
13g = 377
now finish it off