Multiple choice

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?

  1. 13 : 27

  2. 13 : 15

  3. 27 : 15

  4. 1 : 9

  5. 2 : 3
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A Correct answer
Explanation

Solution A: 1/4 milk, 3/4 water. Solution B: 2/5 milk, 3/5 water. Mixing equal quantities: Milk = 1/4 + 2/5 = 13/20. Water = 3/4 + 3/5 = 27/20. Ratio = 13:27.

AI explanation

Assume 60 litres of solution A and 60 litres of solution B are mixed. Solution A contains 15 litres of milk and 45 litres of water, while solution B contains 24 litres of milk and 36 litres of water. The new mixture has a total of 39 litres of milk and 81 litres of water, making the ratio 39 to 81, which simplifies to 13:27. The result is 13:27.

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