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# In a Mixture of 126 Kg of Milk and Water, Milk and Water Are in Ratio 5 : 2. How Much Water Must Be Added to the Mixture to Make this Ratio 3 : 2? - Mathematics

In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?

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#### Solution

Quantity of milk : Quantity of waer = 5:2

∴ Quantity of milk = 126 x 5/7 = 90 kg

=> Quantity of water = 126 - 90 = 36 kg

New ratio = 3 : 2

Let the quantity of water to be added be x kg

Then milk : water  = 90/(36 + 6)

90/(36 + x) = 3/2

=> 180 = 108 + 3x

=> 3x = 72

=> x = 24

Thus quanitiy of water to be added is  24 kg

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