At a “1/3 off” sale, the sale price of an item is $360. How much money do you save by buying the item on sale? Explain your reasoning clearly.
(2/3)x = 360
x = 360 / (2/3)
x = 360 * (3/2)
x = 1,080/2 = 540
540 - 360 = ?
To find out how much money you save by buying the item on sale, we need to first determine the original price of the item.
Let's represent the original price as "x".
If the sale offers a "1/3 off" discount, it means the sale price will be 2/3 of the original price. So, we can set up the following equation:
(2/3) * x = $360
To solve this equation, we can multiply both sides by 3/2 to cancel out the fraction:
x = ($360) * (3/2) = $540
Therefore, the original price of the item is $540.
To calculate the amount of money saved, we subtract the sale price from the original price:
Savings = Original price - Sale price
= $540 - $360
= $180
Therefore, by buying the item on sale, you save $180.