Question

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?



a.



1



3



b.



1



4



c.



1



5



d.



1



7

Answer 1

Answer:

We now add 'x' units of water. Now quantities of water and syrup are 30-(3x/8)+x and 50-(5x/8) respectively. Solve to get x=16 units which means you need to draw 20% or 1/5th of the liquid from the vessel. Take out 1/5 of the liquid and replace it with water to have it half water and half syrup.