1. **Stating the problem:** Part A: Find the selling price of a small jade plant given the markup and the final selling price. Part B: Calculate the total price of a large jade plant after a 5% discount and then adding 7.5% sales tax. 2. **Part A: Understanding markup and selling price** The markup is the amount added to the cost price to get the selling price. Given: - Markup = 10.50 - Selling price = 15.75 We can find the original cost price using the formula: $$\text{Selling Price} = \text{Cost Price} + \text{Markup}$$ 3. **Calculate the cost price for Part A:** $$\text{Cost Price} = \text{Selling Price} - \text{Markup}$$ $$= 15.75 - 10.50$$ $$= 5.25$$ So, the cost price of the small jade plant is $5.25. 4. **Part B: Calculate the total price after discount and tax** Let the original price of the large jade plant be $P$. First, apply the 5% discount: $$\text{Discounted Price} = P - 0.05P = 0.95P$$ Next, add 7.5% sales tax: $$\text{Total Price} = \text{Discounted Price} + 0.075 \times \text{Discounted Price} = 0.95P \times (1 + 0.075) = 0.95P \times 1.075$$ 5. **Final formula for total price of large jade plant:** $$\text{Total Price} = 1.02125P$$ Since the original price $P$ is not given, the total price depends on $P$. **Summary:** - Part A: Cost price of small jade plant is $5.25. - Part B: Total price of large jade plant after 5% discount and 7.5% tax is $1.02125P$ where $P$ is the original price.