Subjects algebra

Cabbage Roll Cost 53Fe61

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Stating the problem:** Michael sells 35 cabbage rolls with a 60% profit. He sells 5 rolls for 20. We need to find the total cost of raw materials for all 35 rolls. 2. **Understanding the problem:** Profit of 60% means the selling price is 160% of the cost price. 3. **Formula:** Selling Price (SP) = Cost Price (CP) + Profit = CP \times (1 + Profit%) 4. **Calculate the selling price per roll:** Given 5 rolls sell for 20, so price per roll is $$\frac{20}{5} = 4$$. 5. **Calculate the cost price per roll:** Since SP = CP \times 1.6, then $$CP = \frac{SP}{1.6} = \frac{4}{1.6} = 2.5$$. 6. **Calculate total cost for 35 rolls:** $$35 \times 2.5 = 87.5$$. **Final answer:** The total raw materials cost Michael 87.5.