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?  Choose the correct choice from the following options
A) 1/3	B) 1/4	C) 1/5	D) 1/7	E) 1/8
Explanation:   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   (3 -	3x/8 +x)=(5 -	5x/8)   =&gt;5x + 24 = 40 - 5x   =&gt;10x = 16   =&gt;x =	8/5   So, part of the mixture replaced =(8/5 x	1/8)=1/5.   ANSWER IS 1/5
<result>C</result>
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?