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Yolanda bought a sofa on sale for \( \$ 341 \). This price was \( 38 \% \) less than the original price. What was the original price?

Ask by Hammond Cole. in the United States
Feb 20,2025

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Answer

The original price of the sofa was $550.

Solution

Let the original price be P. Since Yolanda got a 38% discount, she paid 62% of the original price. This gives us the equation: 0.62 × P = 341 To find P, divide both sides by 0.62: P = 341 ÷ 0.62 = 550 Thus, the original price of the sofa was $550.

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To find the original price of the sofa, we can use the information that the sale price represents \( 62\% \) of the original price (since \( 100\% - 38\% = 62\%\)). Let \( x \) be the original price. Then, we can set up the equation: \[ 0.62x = 341 \] Now, divide both sides by \( 0.62 \) to find \( x \): \[ x = \frac{341}{0.62} \approx 550 \] So, the original price of the sofa was approximately \( \$ 550 \). Finding a discount can be a fun math puzzle! You could create scenarios around your purchases to practice calculating discounts or practice with friends using various percentages to see how savvy shopper each of you can be while still keeping it drama-free. Understanding percentages and discounts can help you save money in real life! For instance, when shopping during sales, knowing how to quickly calculate the original price or total savings can empower you as a buyer. Plus, it makes shopping a lot more enjoyable when you can confidently snag a great deal!

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