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We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?
  • a)
    13 : 27
  • b)
    13 : 15
  • c)
    27 : 15
  • d)
    1 : 9
  • e)
    2 : 3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
We have two solutions of milk - A and B. Solution A contains milk and ...
Solution:

Let's assume that we have equal quantities of solution A and solution B.

Step 1: Determine the ratio of milk to water in solution A and solution B.

- Solution A: The ratio of milk to water in solution A is 1:3. This means that for every 1 unit of milk, there are 3 units of water.
- Solution B: The ratio of milk to water in solution B is 2:3. This means that for every 2 units of milk, there are 3 units of water.

Step 2: Determine the total quantities of milk and water in solution A and solution B.

- Solution A: Let's assume that we have x units of solution A. Since the ratio of milk to water is 1:3, the quantity of milk in solution A is x/4 and the quantity of water is 3x/4.
- Solution B: Let's assume that we have x units of solution B. Since the ratio of milk to water is 2:3, the quantity of milk in solution B is 2x/5 and the quantity of water is 3x/5.

Step 3: Determine the total quantities of milk and water in the new solution after mixing equal quantities of solution A and solution B.

- Total quantity of milk: (x/4) + (2x/5) = (5x + 8x)/20 = 13x/20
- Total quantity of water: (3x/4) + (3x/5) = (15x + 12x)/20 = 27x/20

Step 4: Determine the ratio of milk to water in the new solution.

- Ratio of milk to water: (13x/20) : (27x/20) = 13:27

Therefore, the correct answer is option A) 13:27.
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We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?a)13 : 27b)13 : 15c)27 : 15d)1 : 9e)2 : 3Correct answer is option 'A'. Can you explain this answer?
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