Question

Spirt school is selling tickets to its Spring Concert. Adult tickets cost $4 and student tickets cost $2.50. 900 tickets are sold and the school makes $2820. Write a system of linear equations to represent this situation. Let x equal the number of adult tickets and y equal the number of student tickets.

Answer 1

To create a system of linear equations for the ticket sales at Spirit School, let x denote adult tickets and y denote student tickets. The system comprises x + y = 900 for the number of tickets and 4x + 2.50y = 2820 for the total revenue.

Step-by-step explanation:

To represent the situation of the Spirit School selling tickets to its Spring Concert with a system of linear equations, we need two equations. One equation will account for the total number of tickets sold, and the second will represent the total revenue generated from the ticket sales.

Let x be the number of adult tickets and y be the number of student tickets sold.

• The first equation comes from the total number of tickets sold: x + y = 900.
• The second equation comes from the total revenue, which is the sum of the revenue from adult tickets and student tickets: 4x + 2.50y = 2820.

Therefore, the system of linear equations is:

• x + y = 900
• 4x + 2.50y = 2820