Question

Three hundred fifty-eight tickets to the school basketball game on Friday were sold. Student tickets were $1.50, and nonstudent tickets were$3.25. The school made $752.25.

a. Write a system of linear equations that could be used to determine how many student and how many nonstudent tickets were sold. Define the variables you use.

Answer 1

To determine the number of student and nonstudent tickets sold at the school basketball game, we can set up a system of linear equations using the revenue from ticket sales and the total number of tickets sold as the variables. Solving this system will give us the desired information.

Step-by-step explanation:

To write a system of linear equations to determine how many student and nonstudent tickets were sold, we can use the following variables:

S = number of student tickets sold

N = number of nonstudent tickets sold

Given that the school made $752.25 and sold 358 tickets in total, we can set up the equations:

1.50S + 3.25N = 752.25 (equation representing revenue from ticket sales)

S + N = 358 (equation representing the total number of tickets sold)

Solving this system of equations will give us the number of student and nonstudent tickets sold.