A small container 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

• ans C:1/5
  suppose AT first in mix W=3/8 & S=5/8
  let x lit to be withdrawn then remaining w=3/8-(3x/8) and s=(5/8-5x/8)
  and x lit water added then w=s
  s0, x+(3-3x)/8=(5-5x)/8
  then x=1/5.
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