Question

Using a system of linear equations, determine the number of student tickets (s) and adult tickets (a) when a concert manager counted 700 ticket receipts, and $9,237.50 was taken in.

a) (s = 300, a = 400)

b) (s = 400, a = 300)

c) (s = 350, a = 350)

d) (s = 450, a = 250)

Answer 1

To determine the number of student tickets (s) and adult tickets (a), we can set up a system of linear equations based on the given information. The correct answer is (s = 400, a = 300), choice b.

Step-by-step explanation:

To determine the number of student tickets (s) and adult tickets (a), we can set up a system of linear equations based on the given information. Let's assume that a student ticket costs $x and an adult ticket costs $y.

We know that the concert manager counted 700 ticket receipts, so we have the equation:

s + a = 700

We also know that $9,237.50 was taken in, so we have the equation:

x * s + y * a = 9,237.50

Now we have a system of two equations:

s + a = 700

x * s + y * a = 9,237.50

We can solve this system of equations to find the values of s and a. In this case, the correct answer is (s = 400, a = 300), choice b. This means that there were 400 student tickets and 300 adult tickets sold.