Question

6.

Tickets to a basketball game cost $1.50
o a basketball game cost $1.50 for students and $3.25 for adults. The
school made $752.25 and sold 358 tickets. How many student and how many
adult tickets were sold?

Answer 1

Answer: Adult tickets = 123

Student tickets = 235

Explanation:

Let x represent the number of adult tickets sold and

let y represent the number of student tickets sold

Then create two equations: Quantity & Cost

Cost: 3.25x + 1.50y = 752.25

Qty: x + y = 358

I am going to solve the system using the substitution method.

You can also solve using the elimination method.

Since x + y = 358

then y = 358 - x

Substitute y in the Cost equation with 358 - x and solve for x

3.25x + 1.50(358 - x) = 752.25

3.25x + 537 - 1.50x = 752.25

1.75x + 537 = 752.25

1.75x = 215.25

x = 123

Now substitute x with 123 into the Quantity equation to solve for y

x + y = 358

123 + y = 358

y = 235