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.
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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.

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