Calculate the final price of a $140 coat with a 10% discount.
The Correct Answer and Explanation is:
To calculate the final price of a coat that originally costs $140 with a 10% discount, we can follow a straightforward method involving the calculation of the discount amount and the subtraction of that amount from the original price.
Step 1: Calculate the Discount Amount
The discount amount can be found by multiplying the original price by the discount percentage expressed as a decimal. In this case, the original price is $140 and the discount is 10%.
To express 10% as a decimal, we divide by 100:
[
10\% = \frac{10}{100} = 0.10
]
Next, we calculate the discount:
[
\text{Discount Amount} = \text{Original Price} \times \text{Discount Rate}
]
[
\text{Discount Amount} = 140 \times 0.10 = 14
]
Step 2: Subtract the Discount from the Original Price
After calculating the discount amount, the next step is to subtract this amount from the original price to find the final price of the coat.
[
\text{Final Price} = \text{Original Price} – \text{Discount Amount}
]
[
\text{Final Price} = 140 – 14 = 126
]
Conclusion
Therefore, the final price of the coat after applying the 10% discount is $126.
This calculation is useful for anyone trying to understand how discounts work in retail transactions. The process of converting a percentage to a decimal and applying it to the original price is a common mathematical skill necessary for budgeting and financial literacy. By understanding these steps, consumers can make informed purchasing decisions and better manage their finances when shopping. Recognizing the actual amount saved through discounts helps shoppers to evaluate the value of sales and make strategic buying choices, ultimately enhancing their shopping experience and satisfaction.