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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 :

sqdancefan

9514 1404 393

Answer:

  • x+y≥20
  • 14x+12y≤420

Step-by-step 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

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