Mixtures & Alligations Question

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Three vessels having volumes in the ratio of 2:3:5 are full of a mixture of water and milk. In the first vessel ratio of water and milk is 1:3, in second 2:3 and in the third vessel, 2:5. If all the three vessels were poured out in a large container, what is the resulting ratio of milk and water?

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Mixtures and allegations Jenovar 3 years 2 Answers 2794 views 0

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    962:438 should be return as 481 : 219 (Ratio is the lowest form of two values)

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    Answer – 962:438

    Explanation:
    In first Vessel, Ratio of Water: Milk = 1:3
    In second Vessel, Ratio of Water: Milk = 2:3
    in third Vessel, Ratio of Water: Milk= 2:5

    Proportion of water in three vessels 1/4 : 2/5 : 2/7 = 35/140 : 56/140 : 40/140
    Now since all these three mixtures are mixed into the ratio of 2:3:5
    So,new ratio is (35×2)/(140×2) :(56×3)/140×3) : (40×5)/(140×5)
    70/280 : 168/420 :200/700
    Amount of water = 70 + 168 + 200 = 438
    Amount of milk = (280 +420 + 700) – 438 =962
    So,Ratio of milk to water = 962:438

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