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

Carson bought some new sneakers on sale for $250 The sale price was 65% of the original price. What was the original price? So here we know the partial amount and we know the percent, but what we don't know is the original price or our full amount. So setting up this equation, we have our partial amount of $250 is equal to our percent written as a decimal, 0.65, times our whole amount, which we'll call x. Solving for x, we divide both sides by 0.65, and we get x, our original price, is about $384.62. That is our final answer.

3. Solving Word Problems

Percent Problem Solving

Beginning Algebra

3. Solving Word Problems

Percent Problem Solving

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Multiple Choice

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

$dollar sign 412.50$

$dollar sign 384.62$

$dollar sign 162.50$

$dollar sign 337.50$

Verified step by step guidance

Identify the variables: Let the original price be represented by $x$ dollars.

Translate the problem into an equation: The sale price is 65% of the original price, so we write \$0.65 \times x = 250$.

To find the original price $x$, isolate $x$ by dividing both sides of the equation by 0.65: $x = \frac{250}{0.65}$.

Set up the division to solve for $x$, which will give the original price before the discount.

Calculate the value of $x$ to find the original price of the sneakers.

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Struggling with Beginning Algebra?

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

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