1. **State the problem:** A garden store bought a lawn mower for 82.67 and marked it up by 160%. Then, it was put on sale for 10% off. We need to find the discount price. 2. **Calculate the marked-up price:** The markup is 160% of the original cost. Markup amount = 160% of 82.67 = \frac{160}{100} \times 82.67 = 1.6 \times 82.67 3. Calculate the marked-up price: $$\text{Marked-up price} = 82.67 + 1.6 \times 82.67 = 82.67 + 132.272 = 214.942$$ 4. **Calculate the discount amount:** The discount is 10% off the marked-up price. Discount amount = 10% of 214.942 = \frac{10}{100} \times 214.942 = 0.1 \times 214.942 5. Calculate the discount amount: $$\text{Discount amount} = 21.4942$$ 6. **Calculate the discount price:** Discount price = Marked-up price - Discount amount $$= 214.942 - 21.4942 = 193.4478$$ 7. **Final answer:** The discount price of the lawn mower is approximately $193.45.