Question

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and student tickets cost $2.50. Write a system of equations for this situation.

Answer 1

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:$2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets