The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.
Write a system of inequalities that can be used to model this scenario.
If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?