A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?  Pick one.
A) 1/5	B) 2/5	C) 3/5	D) 4/5	E) None of them
Suppose the vessel initially contains 8 litres of liquid.   Let x litres of this liquid be replaced with water.   Quantity of water in new mixture = (3 -(3x/8)+ x)litres   Quantity of syrup in new mixture = (5 - 5x/8) litres   Therefore, (3 - (3x/8)	+ x)	= 5 -	5x/8)   = 5x + 24 = 40 - 5x   = 10x = 16   = x = 8/5   So, part of the mixture replaced = (8/5 x 1/8)= 1/5   1/5nswer is 1/5.
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A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?