Multiple choice

Three containers X, Y and Z are having mixtures of milk and water in the ratio 1: 6, 4: 5 and 5: 9 respectively. If the capacities of the containers are in the ratio 4: 5: 6, then find the ratio of the milk to the water, if the mixtures of all the three containers are mixed together.

  1. 311:634

  2. 31:63

  3. 634:311

  4. 311:633

  5. None of these
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A Correct answer
Explanation

Container capacities ratio 4:5:6, let capacities be 4x, 5x, 6x. Milk in X: (1/7)(4x) = 4x/7, Water: 24x/7. Milk in Y: (4/9)(5x) = 20x/9, Water: 25x/9. Milk in Z: (5/14)(6x) = 15x/7, Water: 27x/7. Total milk = 4x/7 + 20x/9 + 15x/7 = 19x/7 + 20x/9 = 311x/63. Total water = 24x/7 + 25x/9 + 27x/7 = 51x/7 + 25x/9 = 634x/63. Ratio Milk:Water = 311:634.

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