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.

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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 :

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absor201 absor201 · Answer 1 · 2025-03-30T09:21:29-04:00

Answer:

The system of equations is:

[tex]a+s = 250\\5a+2.50s = 837.50[/tex]

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:

[tex]a+s = 250[/tex]

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: [tex]5a[/tex]

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

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

[tex]5a+2.50s = 837.50[/tex]

Hence,

The system of equations is:

[tex]a+s = 250\\5a+2.50s = 837.50[/tex]

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

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 :

Other Questions

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.