Question

HELP HELP HELP!!!!!

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 98 balcony tickets and 26 general admission floor tickets for Friday's show, for a total of $4,524 in receipts. For Saturday's show, 74 balcony tickets and 96 general admission floor tickets have been sold, equaling $5,478 in receipts. How much does each ticket cost?

Answer 1

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?

Answer: 114 general admission tickets and 246 student tickets were sold.

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