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.

a) Write a system of equations that can be used to find how many adult tickets and how many student tickets were purchased. Be sure to define the variables you use.

b) Use the substitution method to find the number of adult tickets and the number of student tickets that were purchased. Be sure to show (write out) your work.

7 pts - system of equations

7 pts - define variable

7 pts - number of days

7 pts - show/write out your work

Answer 1

A)

Let x be the no. of adults, and

y be the no. of students

x + y = 8

7.25x + 5.50y = 52.75

B)

y = 8 - x

7.25x + 5.5(8 - x) = 52.75

7.25x + 44 - 5.5x = 52.75

1.75x = 8.75

x = 5

y = 8 - 5 = 3

5 adults and 3 students

Answer 2

qbcStep-by-step explanation:a.

b

c