Final answer:
To find the original price of a bottle of hand lotion that is on sale for $2.25 with a 50% discount, you set up the equation x - 0.50x = $2.25 and solve for x, which gives you the original price of $4.50.
Step-by-step explanation:
The original price of a bottle of hand lotion can be calculated using the sale price and the discount percentage. Since the lotion is on sale for $2.25 after a 50% discount, you can represent this as an equation where the original price (let's call it x) minus 50% of the original price is equal to the sale price of $2.25. Mathematically, it can be written as:
x - 0.50x = $2.25
Solving for x, we get:
0.50x = $2.25
x = $2.25 / 0.50
x = $4.50
Therefore, the original price of the hand lotion was $4.50.