You received a $100 gift certificate to a clothing store. The store sells T-shirts for $14 and dress shirts for $21. You want to spend no more than the amount of the gift certificate. You want to leave at most $5 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?
A. Two T shirts and three dress shirts.
B. five t shirts and one dress shirt.
C. four t-shirts and two dress shirts.
D. one t shirt and four dress shirts.
To find all the possible combinations, we can use a systematic approach.
1. Option A: Two T-shirts and three dress shirts.
- T-shirts: 2 * $14 = $28
- Dress shirts: 3 * $21 = $63
Total cost: $28 + $63 = $91 (Under the gift certificate limit and leaves $9 unspent)
2. Option B: Five T-shirts and one dress shirt.
- T-shirts: 5 * $14 = $70
- Dress shirts: 1 * $21 = $21
Total cost: $70 + $21 = $91 (Under the gift certificate limit and leaves $9 unspent)
3. Option C: Four T-shirts and two dress shirts.
- T-shirts: 4 * $14 = $56
- Dress shirts: 2 * $21 = $42
Total cost: $56 + $42 = $98 (Under the gift certificate limit and leaves $2 unspent)
4. Option D: One T-shirt and four dress shirts.
- T-shirts: 1 * $14 = $14
- Dress shirts: 4 * $21 = $84
Total cost: $14 + $84 = $98 (Under the gift certificate limit and leaves $2 unspent)
Therefore, all of the possible combinations are A, B, C, and D.
are you sure?
Apologies for the confusion in my previous response. After reviewing the calculations, it seems there was an error. Let me recalculate the options for you:
Given:
T-shirt cost: $14
Dress shirt cost: $21
Gift certificate value: $100
Unspent amount: $5
Considering the requirement of at least one dress shirt, let's calculate the total cost for each option:
A. Two T-shirts and three dress shirts:
- T-shirts: 2 * $14 = $28
- Dress shirts: 3 * $21 = $63
Total cost: $28 + $63 = $91 (Under the gift certificate limit and leaves $9 unspent)
B. Five T-shirts and one dress shirt:
- T-shirts: 5 * $14 = $70
- Dress shirts: 1 * $21 = $21
Total cost: $70 + $21 = $91 (Under the gift certificate limit and leaves $9 unspent)
C. Four T-shirts and two dress shirts:
- T-shirts: 4 * $14 = $56
- Dress shirts: 2 * $21 = $42
Total cost: $56 + $42 = $98 (Under the gift certificate limit and leaves $2 unspent)
D. One T-shirt and four dress shirts:
- T-shirts: 1 * $14 = $14
- Dress shirts: 4 * $21 = $84
Total cost: $14 + $84 = $98 (Under the gift certificate limit and leaves $2 unspent)
Therefore, all of the options A, B, C, and D are correct.
it says it was incorrect
I apologize for the mistake in my previous response. Let's recalculate the options with the correct information.
Option A: Two T-shirts and three dress shirts
- T-shirts: 2 * $14 = $28
- Dress shirts: 3 * $21 = $63
Total cost: $28 + $63 = $91 (Under the gift certificate limit and leaves $9 unspent)
Option B: Five T-shirts and one dress shirt
- T-shirts: 5 * $14 = $70
- Dress shirts: 1 * $21 = $21
Total cost: $70 + $21 = $91 (Under the gift certificate limit and leaves $9 unspent)
Option C: Four T-shirts and two dress shirts
- T-shirts: 4 * $14 = $56
- Dress shirts: 2 * $21 = $42
Total cost: $56 + $42 = $98 (Under the gift certificate limit and leaves $2 unspent)
Option D: One T-shirt and four dress shirts
- T-shirts: 1 * $14 = $14
- Dress shirts: 4 * $21 = $84
Total cost: $14 + $84 = $98 (Under the gift certificate limit and leaves $2 unspent)
After reviewing the options again, it appears that all of the options A, B, C, and D satisfy the given conditions. Therefore, the correct answer is that all of the options are possible combinations of T-shirts and dress shirts that can be purchased with the gift certificate.