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He starts with 6 liters of an 8% boric acid solution.
8% of 6 is 0.48, so those 6 liters of liquid contains just 0.48 liters of pure
boric acid and the rest is water.
Now he adds x liters of water and now he has 6+x liters of liquid.
That 6+x liters of liquid still contains just 0.48 liters of pure boric acid.
That 0.48 liters of pure boric acid is now only 5% of those 6+x liters of liquid.
So 0.48 = 5% of 6+x
0.48 = 0.05(6+x)
48 = 5(6+x)
48 = 30+5x
18 = 5x
3.6 = x
Answer: He needs to add 3.6 liters of water.
Edwin