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Flexner marked the bench down and sold it for percent of the original price. What was the original price of the bench?
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Q. Flexner marked the bench down and sold it for percent of the original price. What was the original price of the bench?
- Define Original Price: Let's call the original price of the bench ＂＂. The bench was marked down \$\(20\), so the new price is \(x - \$20\). This new price is also given as \(60\%\) of the original price, which is \(0.60 \times x\). So we have the equation \(0.60 \times x = x - \$20\).
- Set Up Equation: Now we solve for \(x\). First, let's add \(\$20\) to both sides to get all the \(x\) terms on one side: \(0.60 \times x + \$20 = x\).
- Add \(\$20\) to Both Sides: Next, we need to get all the \(x\) terms on one side and the numbers on the other. Subtract \(0.60 \times x\) from both sides: \(\$20 = x - 0.60 \times x\).
- Subtract \(0.60 \times x\): Combine like terms on the right side: \(\$20 = 0.40 \times x\).
- Combine Like Terms: Now, divide both sides by \(0.40\) to solve for \(x\): \(\$20 / 0.40 = x\).
- Divide by \(0\).\(40\): Do the division: \(\$50 = x\). So the original price of the bench was \(\$50\).
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