Eldon received a gift card for $95 to a movie theater. He may use the gift card for either admission tickets or snacks. Tickets cost $9.50 and his favorite snack costs $4.25. If he wants to use his gift card for at least 17 individual purchases, which is a combination of tickets and snacks Eldon may purchase?

5 tickets and 10 snacks

7 tickets and 9 snacks

6 tickets and 11 snacks

4 tickets and 13 snacks

Question

Eldon received a gift card for $95 to a movie theater. He may use the gift card for either admission tickets or snacks. Tickets cost $9.50 and his favorite snack costs $4.25. If he wants to use his gift card for at least 17 individual purchases, which is a combination of tickets and snacks Eldon may purchase?

 5 tickets and 10 snacks

 7 tickets and 9 snacks

 6 tickets and 11 snacks

 4 tickets and 13 snacks

anonymous · Answer

Hi,

The problem can be put in the form of

Max(9.5T + 4.25S) <=95, where T = Number of Tickets and S = Number of Snacks

Substituting all the options, find the option which when substitued gives the maximum value but value should be less than or equal to  95(Value of Gift Card)