Carson bought some new sneaker on sale for $\$250$. The sale price was $65\%$ of the original price. What was the original price?

• A. $\$412.50$
• B. $\$384.62$
• C. $\$162.50$
• D. $\$337.50$

Answer: (B)

Verified step by step guidance

1. Identify the variables: Let the original price be represented by \(x\) dollars.
2. Translate the problem into an equation: The sale price is 65% of the original price, so we write \(0.65 \times x = 250\).
3. To find the original price \(x\), isolate \(x\) by dividing both sides of the equation by 0.65: \(x = \frac{250}{0.65}\).
4. Set up the division to solve for \(x\) without calculating the final value yet.
5. Interpret the result as the original price before the discount was applied.