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Example #1: Calculating the original price of boots after a 20% discount, resulting in $175.

A math problem example showing how to calculate the original price of boots after a 20% discount, using the formula P = (1 - d)x, with the solution $175.

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Show Answer Key & Explanations Step-by-step solution for: Calculating the Original Price Given the Sale Price and Percent ...

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- The sale price (P) is $140, and the discount rate (d) is 20%, or 0.20.
- Use the formula P = (1 - d)x, where x is the original price.
- Substitute the known values: 140 = (1 - 0.20)x.
- Simplify inside the parentheses: 140 = 0.8x.
- Solve for x by dividing both sides by 0.8: x = 140 / 0.8.
- Calculate the result: x = 175.
- The original price of the boots was $175.

Parent Tip: Review the logic above to help your child master the concept of calculating prices using discounts worksheet.

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