Multiple choice

Three containers A, B and C are having mixtures of milk and water in the ratio of (1 : 5), (3 : 5) and (5 : 7) respectively. If the capacities of the containers are in the ratio (5 : 4 : 5), find the ratio of milk and water, if the mixtures of all the three containers are mixed together.

  1. $53 : 115$
  2. $115 : 53$
  3. $153 : 55$
  4. $153 : 53$
  5. $153 : 35$
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A Correct answer
Explanation

Take capacities in ratio 5:4:5. Milk from A = 1/6 × 5 = 5/6, from B = 3/8 × 4 = 12/8, from C = 5/12 × 5 = 25/12. Total milk = 53/12. Total volume = 5 + 4 + 5 = 14. Water = 14 - 53/12 = 115/12. Milk:Water = 53:115.

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