Answer:
C. two T-shirts and three dress shirts
D. Five T-shirts and one dress shirt
Explanation:
You have the following conditions:
1. The certificate gift has $100 but you want to leave at most $5 unspent. so you want to spend between $95 and $100.
2. The T-shirts cost $15 and the dress shirts cost $23
3. You one at least one dress shirt.
So, for the first answer option (Four T-shirts and two dress shirts) we get that the total that you spend is:
4($15) + 2($23) = $106
Since $106 is greater than $100, this option doesn't satisfy the first condition and it is not a possible combination.
For the second answer option (One t-shirt and four dress shirts), we get that the total spent is:
1($15) + 4($23) = $107
Since $115 is greater than $100, this option doesn't satisfy the first condition and it is not a possible combination.
For answer C ( two T-shirts and three dress shirts), we get:
2($15) + 3($23) = $99
Since $99 is a number between $95 and $100, this option the first and third conditions and it is a possible combination.
Finally, for answer D (five T-shirts and one dress shirt), we get:
5($15) + 1($23) = $98
Since this option satisfies the first and third conditions, this a possible combination.