Multiple choice

A vessel contains 48 L mixture of milk and water in the ratio of 9 : 7. How much water should be added to make the mixture in the ratio of 3 : 7?

  1. 48 L

  2. 41 L

  3. 36 L

  4. 42 L

  5. 34 L
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial milk = 48 * 9/16 = 27. Initial water = 48 * 7/16 = 21. Let x be water added. (27) / (21+x) = 3/7. 189 = 63 + 3x. 3x = 126. x = 42.

AI explanation

In the 48 litre mixture, milk is 9/16 of 48, which is 27 litres, and water is 21 litres. To get a milk to water ratio of 3 to 7, the required total mixture volume for 27 litres of milk is 27 times 7/3, equaling 63 litres. The amount of water to be added is 63 minus 48, which is 42 litres.

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