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 two dress shirts. What are all of the possible combinations of T-shirts and dress shirts you could buy?

Question

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 two dress shirts. What are all of the possible combinations of T-shirts and dress shirts you could buy?

Select all that apply.

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

Answer 1

The maximum amount you can spend while leaving at most $9 unspent is $125 - $9 = $116.

Dress shirts cost $24 each, so buying 2 dress shirts would cost 2 * $24 = $48.

Therefore, after buying 2 dress shirts, you have $116 - $48 = $68 left.

T-shirts cost $16 each, so you can buy a maximum of $68 / $16 = 4 T-shirts.

From the given options, the possible combinations are:

A.) two T-shirts and four dress shirts (cost: 2 * $16 + 4 * $24 = $32 + $96 = $128 > $116, not possible)
B.) one T-shirt and four dress shirts (cost: 1 * $16 + 4 * $24 = $16 + $96 = $112 < $116, possible)
C.) three T-shirts and three dress shirts (cost: 3 * $16 + 3 * $24 = $48 + $72 = $120 > $116, not possible)
D.) No T-shirts and five dress shirts (cost: 0 * $16 + 5 * $24 = $0 + $120 = $120 > $116, not possible)

Therefore, the only possible combination is B.) one T-shirt and four dress shirts.