Question
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Today only, a sofa is being sold at a \( 66 \% \) discount. The sale price is \( \$ 210.8 \) What was the price yesterday?

Ask by Summers Norris. in the United States
Jan 23,2025

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Answer

The sofa originally cost $620 before the discount.

Solution

To determine the original price of the sofa before the discount, follow these steps: 1. **Understand the Discount**: - A **66% discount** means you're paying **34%** of the original price. 2. **Set Up the Equation**: \[ \text{Sale Price} = \text{Original Price} \times 34\% \] \[ 210.8 = \text{Original Price} \times 0.34 \] 3. **Solve for the Original Price**: \[ \text{Original Price} = \frac{210.8}{0.34} \] \[ \text{Original Price} = 620 \] 4. **Conclusion**: - The original price of the sofa **yesterday** was **\$620**. **Answer:** The sofa originally cost $620 before the discount.

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To find the original price of the sofa yesterday, we can denote the original price as \( P \). If the sofa is being sold at a \( 66\% \) discount, that means you are only paying \( 34\% \) of the original price. So, we can set up the equation: \[ 0.34P = 210.8 \] Now, to find \( P \): \[ P = \frac{210.8}{0.34} \approx 620 \] Thus, the price yesterday was approximately \( \$620 \). This discount demonstrates how significant savings can be achieved on high-ticket items like furniture, enticing buyers to take advantage of limited-time offers. Always check the original price to truly understand the value of the discount; sometimes, it feels like magic when you snag a deal! Moreover, it’s essential to remember that discounts can vary greatly between stores. Doing some comparisons may lead you to discover even bigger savings or alternative options that suit your needs perfectly. Happy shopping!

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