Question

at a university football game 5000 more regular set tickets we’re sold at $7.50 each than box office seats at $12.50 each. if the receipts collected amounted to $637,000 how many tickets where sold at each price

Answer 1

Let’s assume that the number of box office seats sold is x. Then, the number of regular set tickets sold is x + 5000.

The total amount collected from box office seats is 12.50x dollars, and the total amount collected from regular set tickets is 7.50(x + 5000) dollars.

We know that the total receipts collected amounted to 637,000 dollars. Therefore, we can write the following equation:

12.50x + 7.50(x + 5000) = 637,000

Solving for x, we get:

5x = 610,000

x = 122,000

Therefore, the number of box office seats sold is 122,000, and the number of regular set tickets sold is 127,000.

Thus, there were 122,000 box office seats sold at $12.50 each and 127,000 regular set tickets sold at $7.50 each .