You received a $125 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 $9 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. no T shirts and five dress shirts.
B. two t shirts and four dress shirt.
C. one t-shirts and four dress shirts.
D. three t shirt and three dress shirts.
To solve this problem, we need to find combinations of T-shirts and dress shirts that fit within the constraints given.
Let's calculate the total cost for each combination:
A. no T-shirts and five dress shirts.
Total cost = 0 + (5 * $24) = $120
B. two T-shirts and four dress shirts.
Total cost = (2 * $16) + (4 * $24) = $32 + $96 = $128
C. one T-shirt and four dress shirts.
Total cost = (1 * $16) + (4 * $24) = $16 + $96 = $112
D. three T-shirts and three dress shirts.
Total cost = (3 * $16) + (3 * $24) = $48 + $72 = $120
Since we want to spend no more than the $125 gift certificate and leave no more than $9 unspent, the only combination that satisfies these constraints is:
C. one T-shirt and four dress shirts.
Total cost = $112
Therefore, the possible combination is C. one T-shirt and four dress shirts.
you sure?
Apologies for the mistake in my previous response. Let's recalculate the total cost for each combination correctly:
A. no T-shirts and five dress shirts.
Total cost = 0 + (5 * $24) = $0 + $120 = $120
B. two T-shirts and four dress shirts.
Total cost = (2 * $16) + (4 * $24) = $32 + $96 = $128
C. one T-shirt and four dress shirts.
Total cost = (1 * $16) + (4 * $24) = $16 + $96 = $112
D. three T-shirts and three dress shirts.
Total cost = (3 * $16) + (3 * $24) = $48 + $72 = $120
Considering the constraint of spending no more than the $125 gift certificate and leaving no more than $9 unspent, the possible combinations that satisfy these constraints are:
C. one T-shirt and four dress shirts.
Total cost = $112
D. three T-shirts and three dress shirts.
Total cost = $120
Therefore, the possible combinations are:
C. one T-shirt and four dress shirts.
D. three T-shirts and three dress shirts.