SOLUTION: A pharmacist has 6 liters of an 8% boric acid solution. How much water should he add to dilute the solution to a 5% boric acid solution?

Algebra ->  Rational-functions -> SOLUTION: A pharmacist has 6 liters of an 8% boric acid solution. How much water should he add to dilute the solution to a 5% boric acid solution?      Log On


   



Question 1151458: A pharmacist has 6 liters of an 8% boric acid solution. How much water should he add to dilute the solution to a 5% boric acid solution?
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
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

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of water to be added
+.08%2A6+=+.48+ = liters of boric acid in the 8% solution
------------------------
+.48+%2F+%28+6+%2B+x+%29+=+.05+
+.48+=+.3+%2B+.05x+
+.05x+=+.18+
+x+=+3.6+
3.6 liters of water should be added
-----------------------------------------
check:
+.48+%2F+%28+6+%2B+x+%29+=+.05+
+.48+%2F+%28+6+%2B+3.6+%29+=+.05+
+.48+%2F+9.6+=+.05+
+.05+=+.05+
OK