Multiple choice

In a mixture of 171 litres, the ratio of the milkand water is 2:1, respectively. If „x‟ litres of water isadded in the mixture, then the ratio of milk to waterbecomes 3:2. Find the value of „x‟.

  1. 19 litres

  2. 28 litres

  3. 32 litres

  4. 24 litres

  5. None of these
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A Correct answer
Explanation

Initial mixture: 171 liters, ratio 2:1 means 114L milk and 57L water. Adding x liters of water makes the ratio 3:2, so 114 / (57 + x) = 3 / 2. Solving 228 = 171 + 3x gives 3x = 57, so x = 19.

AI explanation

From the initial ratio of milk to water at 2:1 in a 171-litre mixture, the quantities are 114 litres of milk and 57 litres of water. After adding x litres of water, the new ratio of milk to water becomes 3:2. Keeping the milk constant at 114, we find the new water quantity by multiplying 114 by 2 and dividing by 3, resulting in 76 litres. The value of x is the difference between the final and initial water quantities, which is 76 minus 57, making x equal to 19 litres.

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