1. **Stating the problem:** We start with a pair of headphones originally priced at 50. 2. **Part (a): Calculate the sale price after a 10% reduction.** The formula for a price after a percentage decrease is: $$\text{New Price} = \text{Original Price} \times (1 - \frac{\text{percentage decrease}}{100})$$ Here, the percentage decrease is 10%, so: $$\text{Sale Price} = 50 \times (1 - \frac{10}{100}) = 50 \times 0.9$$ Calculating: $$50 \times 0.9 = 45$$ So, the sale price is 45. 3. **Part (b): Calculate the clearance price after another 10% off the sale price.** We apply the same formula to the sale price: $$\text{Clearance Price} = 45 \times (1 - \frac{10}{100}) = 45 \times 0.9$$ Calculating: $$45 \times 0.9 = 40.5$$ So, the clearance price is 40.5. **Final answers:** - Sale price: 45 - Clearance price: 40.5 This shows how successive percentage decreases multiply the price by 0.9 each time, not simply subtracting 20%.