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 \(x\), which will give the original price before the discount.
5. Calculate the value of \(x\) to find the original price of the sneakers.