here's your start

Let be the number of adult tickets sold

Let be the number of student tickets sold

Since each adult ticket costs $3, the money made form the adult tickets is

Since each student ticket costs $1, the money made form the student tickets is

in total, 292 tickets were sold for $470, so that we have

............(1)

..........(2)

there are your simultaneous equations. you can solve the system using elimination. you want to find and