Question

Tickets to a movie cost 7.25 for adults and 5.50 for students. A group of friends purchased 8 tickets for $52.75

Write a system of equations to represent the situation

Answer 1

a+s = 8
7.25a + 5.50s = 52.75

Answer 2

I do not know

Answer 3

Given,
Cost of one adult ticket = $7.25
Cost of one student ticket = $5.50
Total tickets purchased = 8
Total amount spent = $52.75
Let,
Number of adult tickets = x
Number of student tickets = y
According to given statement;
x+y=8 Eqn 1
7.25x+5.50y=52.75 Eqn 2
Multiplying Eqn 1 by 5.50

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 1.75

Putting x=5 in Eqn 1

5 adult tickets and 3 student tickets were purchased.