1. **Problem statement:** Michael sells 35 cabbage rolls with a profit of 60%. He sells 5 rolls for 20. We need to find the total cost of raw materials for all 35 rolls. 2. **Formula and explanation:** Profit percentage is given by $$\text{Profit %} = \frac{\text{Profit}}{\text{Cost Price}} \times 100$$ Profit = Selling Price - Cost Price. 3. **Step 1: Find the selling price per roll.** Given 5 rolls sell for 20, so $$\text{Selling Price per roll} = \frac{20}{5} = 4$$ 4. **Step 2: Use profit percentage to find cost price per roll.** Let cost price per roll be $x$. Profit % = 60%, so $$60 = \frac{4 - x}{x} \times 100$$ 5. **Step 3: Solve for $x$.** $$60 = \frac{4 - x}{x} \times 100 \Rightarrow 0.6 = \frac{4 - x}{x}$$ Multiply both sides by $x$: $$0.6x = 4 - x$$ Add $x$ to both sides: $$0.6x + x = 4 \Rightarrow 1.6x = 4$$ Divide both sides by 1.6: $$x = \frac{4}{1.6} = 2.5$$ So, cost price per roll is 2.5. 6. **Step 4: Find total cost for 35 rolls.** $$\text{Total cost} = 35 \times 2.5 = 87.5$$ **Final answer:** The total raw materials cost Michael 87.5.