1. State the problem. Six tablets of maluwa soap cost 440; find the cost of 11 tablets. 2. Formula and rule. This is a direct proportion: cost is proportional to the number of tablets. We use the formula $$\text{cost}=p\cdot n$$ where $p$ is unit price and $n$ is number of tablets. The unitary method computes $p$ by dividing total cost by number of tablets. 3. Compute the unit price. $$p=\frac{440}{6}$$ We simplify by factoring out 2: $$\frac{440}{6}=\frac{2\cdot220}{2\cdot3}$$ Cancel the common factor 2: $$=\frac{\cancel{2}\cdot220}{\cancel{2}\cdot3}$$ So $$p=\frac{220}{3}$$ per tablet. 4. Compute the cost for 11 tablets. Using unit price: $$\text{cost}_{11}=\frac{220}{3}\cdot11$$ $$=\frac{220\cdot11}{3}$$ $$=\frac{2420}{3}$$ Alternatively, directly: $$\text{cost}_{11}=\frac{440\cdot11}{6}$$ Factor 2: $$=\frac{2\cdot2420}{2\cdot3}$$ Cancel the common factor 2: $$=\frac{\cancel{2}\cdot2420}{\cancel{2}\cdot3}$$ Thus $$\text{cost}_{11}=\frac{2420}{3}$$. 5. Final answer. The cost of 11 tablets is $$\frac{2420}{3}$$ which equals $$806.\overline{6}$$ (approximately 806.666...).