Multiple choice

Milk and water are mixed in the ratio 4 : 1 to form solution A and in the ratio 3 : 2 to form solution B. A man takes equal quantities of solutions A and B and mixes them together. What is the ratio of quantities of milk to that of water in the mixture so formed?

  1. 7 : 3

  2. 1 : 1

  3. 3 : 7

  4. 3 : 2
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A Correct answer
Explanation

Solution A has milk:water = 4:1 (4/5 milk, 1/5 water). Solution B has milk:water = 3:2 (3/5 milk, 2/5 water). Mixing equal quantities means taking 1/2 of each. Total milk = 1/2 * (4/5 + 3/5) = 7/10. Total water = 1/2 * (1/5 + 2/5) = 3/10. The ratio is 7:3.

AI explanation

Assume the man takes 5 litres from each solution, since 5 is the common multiple for the given ratios. Solution A contributes 4 litres of milk and 1 litre of water, while solution B contributes 3 litres of milk and 2 litres of water. Combining these gives a total of 7 litres of milk and 3 litres of water, resulting in a ratio of 7 to 3.

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