There are two types of mixtures of milk and water. In the first mixture, out of 12 litres of mixture, 5 litre is milk only and in the second mixture, 6 litre is milk and 12 litre is water. Which one mixture is better in terms of milk's strength?

Answer

To determine which mixture has a better milk strength, we need to calculate the percentage of milk in each mixture.

**Step 1: Analyze the first mixture.**
- The first mixture has a total volume of 12 liters, with 5 liters being milk.
- To find the amount of water in the first mixture, subtract the volume of milk from the total volume:
\[ \text{Water in Mixture 1} = 12 \text{ liters} - 5 \text{ liters} = 7 \text{ liters} \]

**Step 2: Calculate the percentage of milk in the first mixture.**
- The percentage of milk is calculated using the formula:
\[ \text{Percentage of Milk} = \left( \frac{\text{Volume of Milk}}{\text{Total Volume}} \right) \times 100 \]
- For the first mixture:
\[ \text{Percentage of Milk in Mixture 1} = \left( \frac{5}{12} \right) \times 100 = \frac{500}{12} \approx 41.67\% \]

**Step 3: Analyze the second mixture.**
- The second mixture has 6 liters of milk and 12 liters of water.
- To find the total volume of the second mixture:
\[ \text{Total Volume in Mixture 2} = 6 \text{ liters} + 12 \text{ liters} = 18 \text{ liters} \]

**Step 4: Calculate the percentage of milk in the second mixture.**
- Using the same formula for percentage:
\[ \text{Percentage of Milk in Mixture 2} = \left( \frac{6}{18} \right) \times 100 = \frac{600}{18} = 33.33\% \]

**Step 5: Compare the percentages.**
- From the calculations:
- Percentage of milk in Mixture 1: 41.67%
- Percentage of milk in Mixture 2: 33.33%

**Conclusion:**
- Since 41.67% (Mixture 1) is greater than 33.33% (Mixture 2), Mixture 1 is better in terms of milk strength.

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