Question

Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk, which is half water and half milk. What must he add to make the proportions of the mixture correct?

• A. 1 liter milk
• B. 1 liter water
• C. 2 liters milk
• D. 1.5 liters milk
• E. 3 liters milk

Hint:

When mixing liquids in given ratios, always calculate the required amounts based on the total volume and the desired ratio.

Answer 1

The Correct Option is C

Step 1: Current mixture analysis.
Currently, the total mixture is 8 liters, half of which is milk, so the amount of milk is 4 liters and the amount of water is 4 liters.
Step 2: Desired ratio of milk and water.
To achieve the correct ratio of 3 parts milk to 2 parts water, the total mixture must be in the form \( 3x \) and \( 2x \), where the total is \( 5x \). The current amount of milk is 4 liters.
Step 3: Calculate the required milk.
To maintain the ratio \( 3:2 \), we need 6 liters of milk (because the total is 10 liters, and \( \frac{3}{5} \times 10 = 6 \)).
Step 4: Conclusion.
Thus, we need to add 2 liters of milk.