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 adult tickets and student tickets were purchased?

Answer 1

7.25a + 5.5s = 52.75

a+s = 8 st

5.5a +5.5s = 5.5(8)=44

subtract last equation from 1st, to eliminate one variable, solve for the other

1.75a = 8.75

a= 8.75/1.75=5 adult tickets

s = 8-a= 8-5= 3 student tickets

7.25(5)+5.5(3)

=36+16.5

=52.75