Question 177685
You can simplify this by remembering in this particular problem the amount of pure baneberry is constant.
:
.05(4)=.2 pure baneberry....so 1/5 of a liter is baneberry.
:
this will stay the same because your not adding any baneberry. Your adding water. This fact will remain true no matter how much water you add.  what will change is the percentage of baneberry to the new mixture. It (the percentage) will obviously become smaller as more water is added .
therefore since we want 3% of the new mixture to be baneberry we take the amount of baneberry .2 and set it equal to 3% of the new mixture 4+x, where x is the amount of water added.
:
.05(4)=.03(4+x)
:
.2=.12+.03x
:
.03x=.08
:
{{{highlight(x=2.667)}}}liters