Final answer:
Cory can buy socks with a 1/3 off discount using his $40.00, and the maximum number of pairs is determined by the sale price, which is 2/3 of the original price. Without knowing the original price, we cannot calculate the exact number of pairs he can buy.
Step-by-step explanation:
Cory wants to buy as many pairs of socks as possible with $40.00 during a sale offering 1/3 off the original price of the socks. To determine the maximum number of pairs he can buy, we must first calculate the price of the socks after the discount. Assuming the original price of one pair of socks is not provided in the question, Cory can buy socks up to the amount of 40.00 dollars with the discounted price.
Let's assign a variable P to represent the original price of a pair of socks. The sale discount of 1/3 off means the socks will cost 2/3 of the original price, which is 2/3 × P. Since Cory has $40.00, we can set up the equation 40.00 = (2/3 × P) × X where X is the number of pairs he can purchase.
However, without knowing the original price of the socks, we cannot calculate the exact number of pairs Cory can buy. If the original price is known, we would solve for X to find the greatest amount of pairs Cory can buy.