Kisha saved $12.00 when buying a coat. The coat was on sale for 30% off. What was the original price of the coat?
Kisha saved $12.00 when buying a coat. The coat was on sale for 30% off. What was the original price of the coat
The Correct Answer and Explanation is:
To find the original price of the coat, we are told two key pieces of information:
- Kisha saved $12.00,
- The coat was 30% off the original price.
Let’s call the original price of the coat x.
Since the coat was on sale for 30% off, Kisha saved 30% of the original price. That means:0.30x=120.30x = 120.30x=12
To find the original price (x), divide both sides of the equation by 0.30:x=120.30=40x = \frac{12}{0.30} = 40x=0.3012=40
So, the original price of the coat was $40.00.
Explanation
This problem is about calculating the original price of an item when you know how much money was saved due to a discount. Kisha saved $12 when she bought a coat that was on sale for 30% off the original price.
We are told she saved $12. That means the $12 represents 30% of the original price. This is a percent problem, and such problems are usually solved using proportions or basic algebra.
Let’s break this down:
- The discount is 30%, which means the customer pays 70% of the original price.
- But since we are given the amount saved, not the sale price, we focus directly on the 30%.
- If we say the original price is x, then 30% of x is written as 0.30x.
- We are told that this 30% equals $12. So the equation is: 0.30x=120.30x = 120.30x=12
- Solving for x, divide both sides by 0.30: x=120.30=40x = \frac{12}{0.30} = 40x=0.3012=40
This tells us the coat originally cost $40. After applying a 30% discount (which is $12), the final sale price would be $40 − $12 = $28.
Understanding how percentages relate to whole numbers is key in everyday math. Whether you’re shopping, budgeting, or comparing prices, being able to work backward from a discount to the original price helps make informed decisions.
