Multiple choice

A mixture contains milk and water in the ratio of $4 : 3$ respectively. If $6$ L of water is added to this mixture the respective ratio of milk and water becomes $8 : 7$. What is the quantity of milk in the original mixture?

  1. $48$ litres
  2. $47$ litres
  3. $46$ litres
  4. $45$ litres
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A Correct answer
Explanation

Initial: 4x milk, 3x water. Add 6L water: 4x / (3x + 6) = 8/7. 28x = 24x + 48. 4x = 48. x = 12. Milk = 4 * 12 = 48.

AI explanation

Let the initial quantities of milk and water be 4x and 3x respectively. Adding 6 L of water gives the equation 4x / (3x + 6) = 8 / 7, which simplifies to 28x = 24x + 48. Solving for x gives x = 12. The original quantity of milk is 4x, which equals 48 litres.

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