Subjects algebra

Normal Price

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1. **State the problem:** We need to find the normal price of an umbrella given that its sale price after an 18% reduction is 25.83. 2. **Formula and explanation:** The sale price is calculated by reducing the normal price by 18%. This means the sale price is 82% (100% - 18%) of the normal price. We can write this as: $$\text{Sale Price} = \text{Normal Price} \times (1 - 0.18) = \text{Normal Price} \times 0.82$$ 3. **Set up the equation:** $$25.83 = \text{Normal Price} \times 0.82$$ 4. **Solve for the normal price:** $$\text{Normal Price} = \frac{25.83}{0.82}$$ 5. **Calculate:** $$\text{Normal Price} = 31.5$$ 6. **Interpretation:** The normal price of the umbrella before the sale was 31.5. **Final answer:** The normal price of the umbrella is 31.5.