Final answer:
Julia saved $30 on her headphones which were on sale for $45 after a 40% discount. The original price of the headphones was $75, and the savings are calculated by subtracting the sale price from the original price.
Step-by-step explanation:
The student is asking about determining the savings from a discounted price on an item. In this case, Julia's headphones were on sale for $45 after a discount of 40%. To find the savings, we need to determine the original price of the headphones before the discount. The $45 sale price represents 60% of the original price because 100% - 40% discount = 60%. To find 100% (the original price), we divide the sale price by 60% (or 0.60).
Original Price = Sale Price / 0.60
Original Price = $45 / 0.60
Original Price = $75
So, the original price of the headphones was $75. To calculate the savings, we subtract the sale price from the original price.
Savings = Original Price - Sale Price
Savings = $75 - $45
Savings = $30
Hence, Julia saved $30 on the headphones because of the sale.