Question

Mrs. Becker is selling tickets to an art exhibit, but she lost the receipts. She knows that she has sold at least 20 tickets. The adult tickets (x) cost $14 and the children’s tickets (y) cost $12. If she knows she has sold no more than $420 worth of tickets, write a system of inequalities to model the ticket sales.

Answer 1

9514 1404 393

Answer:

• x+y≥20
• 14x+12y≤420

Explanation:

Variables are defined in the problem statement.

x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

14x +12y ≤ 420 . . . . sales were at most $420