You received a $125 gift certificate to a clothing store. The store sells T-shirts for $19 and dress shirts for $28. 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?
A. Two t-shirts and three dress shirts
B. five t shirts and one dress shirt.
C. one t shirt and four dress shirts
D. four t shirt and two dress shirts.
The cost of one dress shirt is $28, so the maximum number of dress shirts you can buy with $125 is $125/$28 = 4 (rounded down). This eliminates options A and B.
If you buy four dress shirts, the total cost would be 4 x $28 = $112, leaving $125 - $112 = $13 remaining on the gift certificate. You can buy at most $8 of clothing with that remaining amount, so you cannot buy two additional t-shirts. This eliminates option D.
Therefore, the only possible combination is option C: one t-shirt and four dress shirts.
it says it was incorrect
Apologies for the confusion. Let's re-evaluate the options:
A. Two t-shirts and three dress shirts:
The cost of two t-shirts is 2 x $19 = $38.
The cost of three dress shirts is 3 x $28 = $84.
Total cost = $38 + $84 = $122.
Amount remaining = $125 - $122 = $3.
Since $3 is less than $8, this combination is possible.
B. Five t-shirts and one dress shirt:
The cost of five t-shirts is 5 x $19 = $95.
The cost of one dress shirt is $28.
Total cost = $95 + $28 = $123.
Amount remaining = $125 - $123 = $2.
Since $2 is less than $8, this combination is possible.
C. One t-shirt and four dress shirts:
The cost of one t-shirt is $19.
The cost of four dress shirts is 4 x $28 = $112.
Total cost = $19 + $112 = $131.
This exceeds the gift certificate amount of $125, so this combination is not possible.
D. Four t-shirts and two dress shirts:
The cost of four t-shirts is 4 x $19 = $76.
The cost of two dress shirts is 2 x $28 = $56.
Total cost = $76 + $56 = $132.
This exceeds the gift certificate amount of $125, so this combination is not possible.
Based on the calculations, the possible combinations are options A and B:
A. Two t-shirts and three dress shirts
B. Five t-shirts and one dress shirt