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A 50 litre of mixture contains milk and water in the ratio 2:3. How much milk must be added to the mixture so that it contains milk and water in the proportion of 3:2.
  • a)
    20
  • b)
    25
  • c)
    30
  • d)
    35
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A 50 litre of mixture contains milk and water in the ratio 2:3. How mu...
Given:
- A 50 liter mixture of milk and water in the ratio 2:3
- We need to add milk to the mixture so that it contains milk and water in the proportion of 3:2

To solve this problem, we can use the following steps:

Step 1: Find the amount of milk and water in the original mixture
- Let the amount of milk in the mixture be 2x liters
- Then the amount of water in the mixture will be 3x liters
- Total amount of mixture = 2x + 3x = 5x liters
- We know that the ratio of milk and water in the mixture is 2:3
- So, (2x/5x) = 2/3 => x = (2/3)*5 = 10/3 liters
- Amount of milk in the original mixture = 2x = 2*(10/3) = 20/3 liters
- Amount of water in the original mixture = 3x = 3*(10/3) = 10 liters

Step 2: Find the amount of milk and water in the final mixture
- Let the amount of milk to be added be y liters
- Total amount of milk in the final mixture = (20/3 + y) liters
- Total amount of water in the final mixture = 10 liters

Step 3: Set up the equation for the proportion of milk and water in the final mixture
- We need the final mixture to have milk and water in the proportion of 3:2
- So, (20/3 + y)/10 = 3/2
- Solving for y, we get:
- y = 25/3 liters

Therefore, we need to add 25/3 liters of milk to the mixture so that it contains milk and water in the proportion of 3:2.
Option (B) is the correct answer.
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Community Answer
A 50 litre of mixture contains milk and water in the ratio 2:3. How mu...
Answer – b) 25 Explanation : (20 + x)/30 = 3/2
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