You received a ​$150 gift certificate to a clothing store. The store sells​ T-shirts for ​$17 and dress shirts for ​$26. 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 two dress shirts. What are all of the possible combinations of​ T-shirts and dress shirts you could​ buy?

Question

Select all that apply.

A.)two ​T-shirts and four dress shirts
B.) one​T-shirts and four dress shirts.
C.)three ​T- shirts and three dress shirts.
D.)No ​T- shirts and five dress shirts.

Answer 1

We can approach this problem by listing out all the possible combinations of T-shirts and dress shirts and calculating the total cost for each combination.

Possible combinations:

A) Two T-shirts and four dress shirts:
- T-shirts: 2 * $17 = $34
- Dress shirts: 4 * $26 = $104
Total cost: $34 + $104 = $138

B) One T-shirts and four dress shirts:
- T-shirts: 1 * $17 = $17
- Dress shirts: 4 * $26 = $104
Total cost: $17 + $104 = $121

C) Three T-shirts and three dress shirts:
- T-shirts: 3 * $17 = $51
- Dress shirts: 3 * $26 = $78
Total cost: $51 + $78 = $129

D) No T-shirts and five dress shirts:
- T-shirts: 0 * $17 = $0
- Dress shirts: 5 * $26 = $130
Total cost: $0 + $130 = $130

The possible combinations that meet the given criteria (spending no more than the gift certificate and leaving at most $8 unspent) are A) Two T-shirts and four dress shirts, C) Three T-shirts and three dress shirts, and D) No T-shirts and five dress shirts.