Problema Solution
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.
How many adult tickets were purchased?
Answer provided by our tutors
x=number of adults, y=number of students,so:
x+y=8 (because 8 tickets bought)
7.25x+5.50y=52.75
Thus x=8-y, substitute in second equation to get 7.25(8-y)+5.50y=58-1.75y=52.75
thus 5.25=1.75y which gives y=3 and then x=5 (so 5 adults tickets purchased)