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    7 liters of milk and 3 liters of water is mixed in an empty bucket 'P'. In other empty bucket 'Q' six liters of milk is mixed in 1 liter of water. 3 l
    Question

    7 liters of milk and 3 liters of water is mixed in an empty bucket 'P'. In other empty bucket 'Q' six liters of milk is mixed in 1 liter of water. 3 liters of mixture 'P' and 4 liters of mixture from bucket'Q' are mixed in an empty bucket 'R'. What is the quantity of water (in liters) in bucket 'R' ?

    A.

    11170\frac{11}{70}​ liter

    B.

    13370\frac{33}{70}​ liter

    C.

    21570\frac{15}{70}​ liter

    D.

    22970\frac{29}{70}​ liter

    Correct option is B

    Given:

    Bucket 'P' contains 7 liters of milk and 3 liters of water.

    Bucket 'Q' contains 6 liters of milk and 1 liter of water.

    From bucket 'P', 3 liters of the mixture is taken.

    From bucket 'Q', 4 liters of the mixture is taken.

    Concept Used:

    The amount of water in a mixture is proportional to the quantity taken from the total mixture.

    Solution:

    Water content in bucket 'P' =310 \frac{3}{10} ​ of the total mixture (since 7 + 3 = 10) .

    Water content in bucket 'Q' =17= \frac{1}{7} ​ of the total mixture (since 6 + 1 = 7 ).

    For bucket 'P':

    In 3 liters of mixture taken from bucket 'P', the amount of water is:

    310×3=0.9 liters of water.\frac{3}{10} \times 3 = 0.9 \text{ liters of water}.​​

    For bucket 'Q':

    In 4 liters of mixture taken from bucket 'Q', the amount of water is:

    17×4=470.571 liters of water.\frac{1}{7} \times 4 = \frac{4}{7} \approx 0.571 \text{ liters of water}.​​

    Total water in bucket 'R':

    Total water in bucket 'R' is the sum of water from both mixtures:
    0.9 + 0.571 = 1.471 liters of water.

    1.471 = 1 +3370. \frac{33}{70}.​​

    Thus, the quantity of water in bucket 'R' is 13370. \frac{33}{70}.​ liters.

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