Can is filled with a mixture of water & milk in the ratio of 3 : 5. Find the quantity of mixture to be drawn off and replaced with water, in order to get the mixture ashalf milk and 1/2water.
Choose the correct choice from the following choices: A) 1/5 B) 2/3 C) 3/7 D) 1/9 E) 2/5
Correct option : (c)   A container contains milk and water in the ratio of 3 : 5. This means that the vessel contains 8 litres of mixture.   Assume that x litres of this mixture is replaced with water.   From the mixture containing water and milk of 3 : 5, x quantity of mixture is withdrawn and is replaced by water of the same quantity in the mixture. From the mixture (3x)/(8) part of water is removed and x quantity of water is added.   1) Quantity of water in the newly formed mixture = [3 – (	3x	) + x]   8   ---- (3 is the quantity of water, x is the quantity of mixture replaced by water)   2) Similarly, quantity of milk in the newly formed mixture = [5 – (	5x	)]   8   ---- (Here x is not added because only water was added in the mixture and not the syrup)   Therefore,   [ 3 – (	3x	) + x] = [5 – (	5x	)]   8	8   Solving 1 and 2, we get   5x + 24 = 40 -5x   x = 8 / 5   So the part of mixture replaced from 8 litres =	8/5x1/8	=	1/5   1/5
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Can is filled with a mixture of water & milk in the ratio of 3 : 5. Find the quantity of mixture to be drawn off and replaced with water, in order to get the mixture ashalf milk and 1/2water.