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Finding the sale price without a calculator glven the orlginal price and... An item is regularly priced at \( \$ 20 \). Amanda bought it at a discount of \( 75 \% \) off the regular price. How much did Amanda pay?

Ask by Franklin Fitzgerald. in the United States
Jan 24,2025

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Answer

Amanda paid \$5 for the item after a 75% discount.

Solution

To determine how much Amanda paid for the item after a \(75\%\) discount, you can follow these steps: 1. **Understand the Discount:** - **Original Price:** \$20 - **Discount Percentage:** \(75\%\) 2. **Calculate the Discount Amount:** To find out how much is taken off the original price, calculate \(75\%\) of \$20. \[ \text{Discount Amount} = \frac{75}{100} \times 20 = 0.75 \times 20 = \$15 \] 3. **Determine the Sale Price:** Subtract the discount amount from the original price to get the sale price. \[ \text{Sale Price} = \text{Original Price} - \text{Discount Amount} = \$20 - \$15 = \$5 \] **Alternatively**, you can think of a \(75\%\) discount as paying \(25\%\) of the original price: \[ \text{Sale Price} = \frac{25}{100} \times 20 = 0.25 \times 20 = \$5 \] 4. **Conclusion:** Amanda paid **\$5** for the item after applying the \(75\%\) discount.

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Extra Insights

Amanda snagged an amazing deal! With a 75% discount on the original price of \( \$ 20 \), we can first calculate the discount amount. That’s \( 0.75 \times 20 = 15 \). Now, to find out how much she actually paid, we subtract this discount from the original price: \( 20 - 15 = 5 \). So, Amanda paid just \( \$ 5 \) for that item! Next time you see a discount, just remember the quick trick: if you know the percentage, converting it into a decimal can make calculating the discount a breeze. Just multiply and subtract! It’s all about turning those percentages into savings. Happy shopping!

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