Subjects algebra

Motorcycle Price Dbbfd8

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1. **State the problem:** Lenny paid 12.5% tax on the motorcycle, which added 1437.50 to the price. We need to find the original price before tax. 2. **Formula:** Tax amount = Tax rate \times Original price 3. **Set up the equation:** Let the original price be $x$. Then: $$0.125 \times x = 1437.50$$ 4. **Solve for $x$:** $$x = \frac{1437.50}{0.125}$$ 5. **Show intermediate step with cancellation:** $$x = \frac{1437.50}{\cancel{0.125}} \times \frac{\cancel{1}}{1}$$ 6. **Calculate:** $$x = 11500$$ 7. **Answer:** The price of the motorcycle before tax was $11500$.