Edward received a gift card for $85 to a movie theater. He may use the gift card for either admission tickets or snacks. Tickets cost $7.50 and his favorite snack costs $3.75. If he wants to use his gift card for at least 15 individual purchases, which is a combination of tickets and snacks Edward may purchase?

7 tickets and 8 snacks

10 tickets and 6 snacks

8 tickets and 6 snacks

11 tickets and 3 snacks

Question

Edward received a gift card for $85 to a movie theater. He may use the gift card for either admission tickets or snacks. Tickets cost $7.50 and his favorite snack costs $3.75. If he wants to use his gift card for at least 15 individual purchases, which is a combination of tickets and snacks Edward may purchase?
 
7 tickets and 8 snacks 

10 tickets and 6 snacks 

8 tickets and 6 snacks 

11 tickets and 3 snacks

jziggy · Answer

You have two equations to set up for this
t + s = 15 and 7.5t + 3.75s = 85
Next, I get s = 15 - t and substitute that for s in the second equation

7.5t + 3.75(15 - t) = 85
7.5t + 56.25 - 3.75t = 85
3.75t = 28.75
t = 7 and 2/3
Therefore, there is no exact answer and instead you can try trial and error.  The first answer only costs 82.50 total and is as such a correct answer.

anonymous · Answer

so you would choose the first choice?

jziggy · Answer

Yes, I would

anonymous · Answer

It would be the first choice