write two inequalities to solve problem.

Question

The film club is selling tickets to its annual movie marathon. prices are $10 for an adult ticket and $5 for a student ticket. The club needs to raise $1000. the auditorium has a seating capacity of 200. write a system of inequalities that can be used to determine how many tickets have to be sold to meet the club's goal.

Answer 1

Let x = adult tickets

Let y = student tickets

x+y≤200 Since the capacity is 200, you can't go over this.

10x+5y≥1000 The club wants to raise at least 1000, they can go over.