You received a $100 gift certificate to a clothing store. The store sells T-shirts for $16 and dress shirts for $24. You want to spend no more than the amount of the gift certificate. You want to leave at most $8 of the gift certificate unspent. You need at least one dress shirt . What are all of the possible combinations of T-shirts and dress shirts you could buy?

Question

You received a ​$100 gift certificate to a clothing store. The store sells​ T-shirts for ​$16 and dress shirts for ​$24. You want to spend no more than the amount of the gift certificate. You want to leave at most ​$8 of the gift certificate unspent. You need at least one dress shirt . What are all of the possible combinations of​ T-shirts and dress shirts you could​ buy?

GPT 3.5 · Answer

Let's consider the possible combinations of T-shirts and dress shirts that meet the given conditions.

1) If you buy only 1 dress shirt, it costs $24, leaving you with $100 - $24 = $76. In this case, you can buy:
- 4 T-shirts for $16 each: $16 * 4 = $64

2) If you buy 2 dress shirts, it costs $24 * 2 = $48, leaving you with $100 - $48 = $52. In this case, you can buy:
- 3 T-shirts for $16 each: $16 * 3 = $48

3) If you buy 3 dress shirts, it costs $24 * 3 = $72, leaving you with $100 - $72 = $28. In this case, you can buy:
- 1 T-shirt for $16

Therefore, the possible combinations are:
- 1 dress shirt + 4 T-shirts
- 2 dress shirts + 3 T-shirts
- 3 dress shirts + 1 T-shirt