Question: TLE 9 ACTIVITY Copy and answer the following questions on a whole sheet of paper. Show your solution. 1. A student entrepreneur spent ₱900 to prepare 45 cups of iced lemon tea. She wants a 35% profit based on the total production cost. What is the selling price per cup? 2. Ana produced 40 bottles of buko juice with a total production cost of ₱800. She wants to earn ₱10 profit per bottle. What should be the selling price per bottle? 3. A food processing group spent ₱2,000 to produce 80 bottles of mixed fruit beverage. They sold all the bottles for ₱2,600. What is the profit percentage? 4. The production cost of 25 cups of banana smoothie was ₱750. The total amount earned from sales was ₱975. What is the profit percentage?

1. **Problem:** A student entrepreneur spent $900$ to prepare $45$ cups of iced lemon tea and wants a $35\%$ profit based on the total production cost. Find the selling price per cup. 2. **Formula:** Profit = Selling Price - Cost Price Profit Percentage = $\frac{\text{Profit}}{\text{Cost Price}} \times 100\%$ Selling Price = Cost Price + Profit 3. **Step 1:** Calculate total profit desired: $$\text{Profit} = 35\% \times 900 = 0.35 \times 900 = 315$$ 4. **Step 2:** Calculate total selling price: $$\text{Selling Price Total} = 900 + 315 = 1215$$ 5. **Step 3:** Calculate selling price per cup: $$\text{Selling Price per cup} = \frac{1215}{45}$$ 6. **Step 4:** Simplify the fraction: $$\frac{1215}{45} = \frac{\cancel{1215}^{27} \times 45}{\cancel{45}} = 27$$ 7. **Answer:** The selling price per cup is $27$. --- Since the user asked multiple questions, per instructions, only the first question is solved here.