Question

There are 140 students at a football game. The underclassmen (Freshman and Sophomores) pay $5.50 per

ticket to see the game while the upperclassmen (Juniors and Seniors) pay $8.00 per ticket. If the school
brought in $996 total how many underclassmen and upperclassmen tickets were sold.

Answer 1

To find the number of underclassmen and upperclassmen tickets sold at a football game with a total revenue of $996, we set up and solve a system of equations based on the ticket prices and the total number of tickets.

Step-by-step explanation:

The problem presents a scenario in which there are two groups of students purchasing tickets at different prices and provides total revenue from ticket sales. The goal is to determine the number of underclassmen and upperclassmen tickets sold. To solve this, we can set up a system of equations given two unknowns:

• Let x be the number of underclassmen tickets sold.
• Let y be the number of upperclassmen tickets sold.

The first equation comes from the total number of tickets sold:

x + y = 140 (1)

The second equation comes from the total revenue:

5.50x + 8.00y = 996 (2)

We can solve this system of equations using substitution or elimination. For example, we can multiply equation (1) by 5.50 to align it with the price variable in equation (2), then subtract the new equation from equation (2) to eliminate variable x and solve for y. Once we have y, we substitute it back into equation (1) to find x.