Subjects algebra

Jumper Price

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1. **State the problem:** We need to find the original price of a jumper that has been reduced by 17% in a sale, with the sale price given as 62.25. 2. **Formula and explanation:** The sale price is the original price minus 17% of the original price. This can be written as: $$\text{Sale Price} = \text{Original Price} - 0.17 \times \text{Original Price}$$ which simplifies to: $$\text{Sale Price} = (1 - 0.17) \times \text{Original Price} = 0.83 \times \text{Original Price}$$ 3. **Set up the equation:** Let the original price be $x$. Then: $$62.25 = 0.83x$$ 4. **Solve for $x$:** $$x = \frac{62.25}{0.83}$$ Calculate: $$x = 75$$ 5. **Interpretation:** The original price of the jumper was 75 before the 17% discount. **Final answer:** The original price is 75.