1. **State the problem:** Nathalie bought shoes at a sale price of 54 after a 10% reduction from the original price. 2. **Formula used:** Sale price = Original price \times (1 - Discount rate) 3. **Set up the equation:** Let the original price be $x$. Then: $$54 = x \times (1 - 0.10)$$ 4. **Simplify the equation:** $$54 = x \times 0.90$$ 5. **Solve for $x$:** $$x = \frac{54}{0.90}$$ 6. **Show cancellation:** $$x = \frac{54}{\cancel{0.90}} \times \frac{\cancel{1}}{1} = 60$$ 7. **Interpretation:** The original price of the shoes was 60. **Final answer:** The original price of the shoes was $60$.