1. **Problem:** Emma is buying $7.50 worth of candy with a 30% discount. How much will she pay after the discount? 2. **Formula:** The price after discount is calculated by: $$\text{Price after discount} = \text{Original price} \times (1 - \text{Discount rate})$$ 3. **Calculation:** $$\text{Price after discount} = 7.50 \times (1 - 0.30)$$ $$= 7.50 \times 0.70$$ $$= 5.25$$ 4. **Explanation:** Emma will pay $5.25 after the 30% discount. 5. **Problem:** Nancy purchased bed sheets for $36 after a 25% discount. What was the original price? 6. **Formula:** The sale price is: $$\text{Sale price} = \text{Original price} \times (1 - \text{Discount rate})$$ Rearranged to find original price: $$\text{Original price} = \frac{\text{Sale price}}{1 - \text{Discount rate}}$$ 7. **Calculation:** $$\text{Original price} = \frac{36}{1 - 0.25} = \frac{36}{0.75}$$ $$= \frac{\cancel{36}}{\cancel{0.75}} \times \frac{4}{4} = \frac{36 \times 4}{3} = \frac{144}{3} = 48$$ 8. **Explanation:** The original price of the bed sheets was $48. 9. **Problem:** The table shows Milkshakes and Cost with missing values. Given: Milkshakes: 1, 2, 3, 4 Cost: 0.25, 0.50, ?, 0.75, ?, 1.00 10. **Observation:** The cost increases by $0.25 per milkshake. 11. **Calculation:** Cost for 3 milkshakes = $0.25 \times 3 = 0.75$ Cost for 4 milkshakes = $0.25 \times 4 = 1.00$ 12. **Explanation:** The missing costs are $0.75 for 3 milkshakes and $1.00 for 4 milkshakes. **Final answers:** - Emma pays $5.25 after discount. - Original price of bed sheets is $48. - Missing costs are $0.75 and $1.00 for 3 and 4 milkshakes respectively.