The ratio of milk and water in mixture A is 9: 5. The quantity of milk in…

2024

The ratio of milk and water in mixture A is 9: 5. The quantity of milk in mixture B is 20% more that in mixture A and quantity of water in mixture A is 25% more than that in mixture B. If sum of quantity of water of both mixture is 54 liters, then find the total quantity of mixture in A?

  1. A.

    72 liters

  2. B.

    64 liters

  3. C.

    84 liters

  4. D.

    75 liters

  5. E.

    80 liters

Attempted by 3 students.

Show answer & explanation

Correct answer: C

Let mixture A have milk : water = 9x : 5x.

Milk in B is 20% more than milk in A, and water in A is 25% more than water in B, so water in B = 5x/1.25 = 4x.

Total water = 5x + 4x = 54, so x = 6.

Total quantity in A = 9x + 5x = 14x = 84 liters.

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