Subjects algebra

Discount Price 0A822F

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1. **State the problem:** Dorothy bought a clutch at a 35% discount and saved 42. We need to find the original price of the clutch. 2. **Formula and explanation:** The discount amount is calculated as $$\text{Discount} = \text{Original Price} \times \text{Discount Rate}$$ 3. **Set up the equation:** Let the original price be $x$. Then, $$42 = x \times 0.35$$ 4. **Solve for $x$:** $$x = \frac{42}{0.35}$$ 5. **Simplify the fraction:** $$x = \frac{42}{\cancel{0.35}} \times \frac{\cancel{1}}{1} = 120$$ 6. **Answer:** The original price of the clutch was **120**.