Problem

Alan bought a sofa on sale for $\$ 513$. This price was $76 \%$ of the original price. What was the original price?
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Answer

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Answer

Calculating the above expression, we find that the original price of the sofa was \(\boxed{675}\) dollars.

Steps

Step 1 :The problem is asking for the original price of the sofa. Given that the sale price is 76% of the original price, we can set up an equation to solve for the original price. Let's denote the original price as x. Then we have: \(0.76 * x = 513\)

Step 2 :We can solve this equation for x to find the original price. \(x = \frac{513}{0.76}\)

Step 3 :Calculating the above expression, we find that the original price of the sofa was \(\boxed{675}\) dollars.

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