The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 53 balcony tickets and 94 general admission floor tickets for Friday's show, for a total of $4,482 in receipts. For Saturday's show, 53 balcony tickets and 47 general admission floor tickets have been sold, equaling $3,354 in receipts. How much does each ticket cost?

The box office sold 360 tickets to a concert at

the college. The total receipts were $4,170. General

admission tickets cost $15 and student tickets cost $10.

How many of each kind of ticket was sold?

114 general admission tickets and 246 student tickets were sold.

Step-by-step explanation:

Let x represent the number of general admission tickets that were sold.

Let y represent the number of student tickets that were sold.

The box office sold 360 tickets to a concert at the college. It means that

x + y = 360

General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that

15x + 10y = 4170- - - - - - - - -1

Substituting x = 360 - y into equation 1, it becomes

15(360 - y) + 10y = 4170

5400 - 15y + 10y = 4170

- 15y + 10y = 4170 - 5400

- 5y = - 1230

y = - 1230/-5

y = 246

x = 360 - y = 360 - 246

x = 114

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