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

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

Step-by-step 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

11

step-by-step explanation:

32.50-7.50=25

225/25=11