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.How many adults tickets and student tickets were purchased

Answer 1

The answer to your question is 3 tickets for students and 5 tickets for adults

Explanation:

Data

Adults = a = $7.25

Students = s = $5.50

total tickets = 8

total cost = $52.75

Process

1.- Write equations for the problem

a + s = 8 --------------- l

7.25a + 5.50s = 52.75 --------------- ll

2.- Solve equation l for a

a = 8 - s

3.- Solve equation by substitution

7.25(8 - s) + 5.50s = 52.75

58 - 7.25s + 5.50s = 52.75

- 1.75s = 52.75 - 58

- 1.75s = - 5.25

s = -5.25/-1.75

s = 3

4.- Find a

a = 8 - 3

a = 5

5.- Result

3 tickets for students and 5 tickets for adults