Question

Your uncle tells you to go to the store and spend $125, or as close to $125 without going over it. There is a sale at the store, and you need to take advantage by spending as much of the $125 as you can. There is also no sales tax charged that day. What do you buy from this list of items below?

a. Jeans are $23 and you can take 1/3 off the price, maximum 3 pairs per customer.
b. T-shirts are $12 and you can take 15% off the price, maximum 5 per customer
c. Collared shirts are $35, and you can take 50% off, maximum 4 per customer.
d. Socks are $7 for a pair, 5% off, no limit.

Answer 1

To spend as close to $125 as possible, calculate the discounted prices of jeans, T-shirts, collared shirts, and socks. Combine these items, prioritizing those with the highest discounts and caps, to approximate the target amount without going over.

Step-by-step explanation:

The objective is to spend as close to $125 as possible without exceeding it by selecting items from a given list with various discounts. We need to calculate the discounted price of each item and determine how many of each can be bought to maximize the total amount spent close to $125.

• Jeans after a 1/3 off discount: $23 - (1/3 * $23) = $23 - $7.67 = $15.33 per pair. The maximum is 3 pairs.
• T-shirts after a 15% discount: $12 - (15% of $12) = $12 - $1.80 = $10.20 per T-shirt. The maximum is 5.
• Collared shirts after a 50% discount: $35 - (50% of $35) = $35 - $17.50 = $17.50 per shirt. The maximum is 4.
• Socks after a 5% discount: $7 - (5% of $7) = $7 - $0.35 = $6.65 per pair. No limit.

One must calculate combinations of these items to get close to $125 without exceeding it, starting with items with the highest discounts and price caps.