how to solve this

Question

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased student and adults tickets and ended up being up with 8 tickets. The group got all of the tickets for $52.75.

Answer 1

Let’s call x = adults and y = students.

So, we will create a system:

7.25x + 5.50y = 52.75

x + y = 8 ——> x = 8 - y

Let’s substitute the second equation on the first one:

We’ll have:

7.25(y - 8) + 5.50y = 52.75

58 - 7.25y + 5.50y = 52.75

1.75y = 5.25

y=3

Taking the second equation

x = 8 - y

x = 5

So, we have 5 adults tickets and 3 students tickets.

Answer 2

a represents the number of adult tickets

8 - a represents the number of student tickets

7.25a + 5.50(8 - a) = 52.75

Can you solve for a and answer?