Jen wants to buy a dress that originally had the price of $33, but now it is on sale 10% off. How much will Jen pay for the dress?
The correct answer and explanation is:
Jen wants to buy a dress originally priced at $33, and it is now on sale with a 10% discount. To find out how much Jen will pay, we need to calculate the price after applying the 10% discount.
Step 1: Understand the discount
A 10% discount means that Jen will pay 10% less than the original price. The original price is $33.
Step 2: Calculate the discount amount
10% of $33 is: 10%×33=10100×33=0.10×33=3.3010\% \times 33 = \frac{10}{100} \times 33 = 0.10 \times 33 = 3.30
So, the discount amount is $3.30.
Step 3: Calculate the sale price
Subtract the discount from the original price: 33−3.30=29.7033 – 3.30 = 29.70
Thus, Jen will pay $29.70 for the dress.
Explanation (300 words)
When a product is on sale with a percentage discount, the discount is a percentage of the original price that is subtracted from the original price to find the sale price. In this case, the dress was originally priced at $33, and the store is offering a 10% discount.
First, we convert the percentage discount into a decimal for calculation purposes by dividing by 100. So, 10% becomes 0.10. Multiplying this decimal by the original price gives the amount of money discounted. Here, 0.10 times $33 equals $3.30, meaning Jen saves $3.30 on the original price.
After determining the discount amount, subtract it from the original price to get the new, discounted price. So, $33 minus $3.30 equals $29.70. This is the amount Jen actually pays.
This method works universally for any percentage discount. The key steps are:
- Convert the percentage to decimal.
- Multiply the decimal by the original price to find the discount amount.
- Subtract the discount amount from the original price to get the sale price.
In real life, stores often use this method to show discounts and sales prices, making it easy for customers to see how much they save. For consumers, understanding how to calculate discounts helps in making informed purchasing decisions and budgeting.
Therefore, Jen will pay $29.70 for the dress after the 10% discount is applied.