Student Council is selling tickets to the Winter Dance. Tickets cost $5 per person or $8 per couple. To cover expenses, at least $1200 worth of tickets must be sold. No more than 500 students can fit in the gym where the dance is being held.
Let x = number of $5 tickets
Let y = number of $8 tickets
Write two inequalities that model this problem and enter them below.
The first inequality represents the total revenue generated from the sale of tickets:
5x + 8y ≥ 1200
The second inequality represents the maximum number of students that can attend the dance:
x + y ≤ 500