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 adult tickets were purchased?

Answer 1

Using systems of equations, you can find the number of tickets by elimination.
S are students and A are adults.
S+A=8
7.25A+5.50S=52.75
Multiply the first equation by -5.50 to eliminate S.
-5.50A-5.50S=-44
7.25A+5.50S=52.75
1.75A=8.75
8.75÷1.75=5
There were 5 adult tickets and 3 students.