To find out by how much the price of one sweater exceeds the price of one T-shirt, calculate the individual prices and subtract them. The price of one sweater exceeds the price of one T-shirt by $9.76.
The question asks us to determine by how much the price of one sweater exceeds the price of one T-shirt.
First, we will calculate the price of one T-shirt by dividing the total cost of T-shirts by the quantity of T-shirts:
Price per T-shirt = Total cost of T-shirts ÷ Quantity of T-shirts
Price per T-shirt = $392.50 ÷ 50
Price per T-shirt = $7.85
Next, we calculate the price of one sweater in the same manner:
Price per sweater = Total cost of sweaters ÷ Quantity of sweaters
Price per sweater = $440.25 ÷ 25
Price per sweater = $17.61
Now, to find out how much more expensive one sweater is compared to one T-shirt, we subtract the price of a T-shirt from the price of a sweater:
Price difference = Price per sweater - Price per T-shirt
Price difference = $17.61 - $7.85
Price difference = $9.76
Therefore, the price of one sweater exceeds the price of one T-shirt by $9.76.