You receive a $60 gift card to a movie theater. A ticket afternoon show costs $6 and a ticket to an evening show cost $10. The rules of the gift card state that you can only buy a maximum of 8 total tickets with the card. Let x = the number of afternoon tickets and y = the number of evening tickets.     Write the constraints for this situation in the form of a system of inequalities that would allow you to solve for the number of each type of ticket you could purchase do not solve... just set up the constraints.
asked Apr 12 in Algebra 1 Answers by anonymous

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1 Answer

Total tickets: x+y≤8.

6x+10y≤60 (cost of tickets cannot exceed $60). This simplifies to 3x+5y≤30.

These are the constraints.

answered Apr 12 by Rod Top Rated User (582,840 points)

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