Multiple choice

20 litres of a mixture contains milk and water in the ratio of 3 : 1. How much milk must be added to this mixture so that new mixture contains milk and water in the ratio 4 : 1?

  1. 5 litres

  2. 8 litres

  3. 10 litres

  4. 12 litres

  5. None of these
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A Correct answer
Explanation

Initial: 20L, 3:1 ratio means 15L milk, 5L water. Let x be added milk. (15+x)/5 = 4/1. 15+x = 20, so x = 5.

AI explanation

The initial 20 litres of mixture has a milk to water ratio of 3 to 1, meaning there are 15 litres of milk and 5 litres of water. Let x be the amount of milk to add, making the new ratio 4 to 1, which gives the equation 15 plus x divided by 5 equals 4. Solving this equation, we get 15 plus x equals 20, so x equals 5. Therefore, 5 litres of milk must be added.

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