There is a 32 litre mixture of milk and water. The ratio of milk and water in this mixture is 5 : 3. How many litres of water should be added to this mixture so that the resultant mixture has 50% water in it?

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Accepted Answer

Step 1: Calculate the quantity of milk and water in the original mixture.
- Total mixture = 32 litres
- Ratio of milk to water = 5 : 3
- Total parts = 5 + 3 = 8
- Milk = (5/8) * 32 = 20 litres
- Water = (3/8) * 32 = 12 litres

Step 2: Let x litres of water be added.
- New quantity of water = 12 + x litres
- Milk remains = 20 litres

Step 3: The resultant mixture has 50% water.
- Total new mixture = 32 + x litres
- Water is 50% of total mixture:
  (12 + x) / (32 + x) = 1/2

Step 4: Solve the equation:
  2(12 + x) = 32 + x
  24 + 2x = 32 + x
  2x - x = 32 - 24
  x = 8

Therefore, 8 litres of water should be added to make the water content 50%.

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