Multiple choice

A mixture contains milk and water in the ratio 4 : 1. On adding 3 litres of water, the ratio of milk and water becomes 8 : 3. The quantity of milk in the original mixture is

  1. 16 litres

  2. 22 litres

  3. 24 litres

  4. 26 litres

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: M=4x, W=x. Add 3L water: 4x / (x+3) = 8/3. 12x = 8x + 24 => 4x = 24. Milk = 24 litres.

AI explanation

Let the original amounts of milk and water be 4x and 1x. Adding 3 litres of water changes the ratio to 8 to 3, giving the equation 4x / (x + 3) = 8 / 3. Cross multiplying gives 12x = 8x + 24, which simplifies to 4x = 24. The original quantity of milk is 24 litres.

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