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A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36. What is the original price of the pair of headphones? $

A store has a 40% 40 \% off sale on headphones. With this discount, the price of one pair of headphones is $36 \$ 36 .\newlineWhat is the original price of the pair of headphones?\newline$ \$

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Full solution

Q. A store has a 40% 40 \% off sale on headphones. With this discount, the price of one pair of headphones is $36 \$ 36 .\newlineWhat is the original price of the pair of headphones?\newline$ \$
  1. Understand the problem: Understand the problem and what is given.\newlineWe know that after a 40%40\% discount, the price of the headphones is $36\$36. We need to find the original price before the discount.
  2. Set up the equation: Set up the equation to find the original price.\newlineLet the original price be represented by P\text{P}. The discount is 40%40\% of P\text{P}, which means the price after the discount is 60%60\% of P\text{P}. Therefore, $0.60×P=$36\$0.60 \times P = \$36.
  3. Solve the equation: Solve the equation for P\text{P} to find the original price.\newlineDivide both sides of the equation by 0.600.60 to isolate P\text{P}.\newlineP=$360.60P = \frac{\$36}{0.60}
  4. Calculate the original price: Calculate the original price. \newlineP=$360.60=$60P = \frac{\$36}{0.60} = \$60

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