SOLUTION: We disinfect with 8% strength Sodium Hypochlorite. We've run out of that and have to make a solution using 12.5% strength. We have 1200 gallons of water. How much of the 12.5% s

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: We disinfect with 8% strength Sodium Hypochlorite. We've run out of that and have to make a solution using 12.5% strength. We have 1200 gallons of water. How much of the 12.5% s      Log On


   

Question 117298: We disinfect with 8% strength Sodium Hypochlorite. We've run out of that and have to make a solution using 12.5% strength. We have 1200 gallons of water. How much of the 12.5% strength do we use in the 1200 gals of water to produce an 8% strength Sodium Hypochlorite solution?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
We disinfect with 8% strength Sodium Hypochlorite. We've run out of that and have to make a solution using 12.5% strength. We have 1200 gallons of water. How much of the 12.5% strength do we use in the 1200 gals of water to produce an 8% strength Sodium Hypochlorite solution?
--------------------------------
12.5% DATA:
Amt = x gals ; active ingredient = 0.125x gals
---------------
Water DATA:
Amt ; 1200 gal ;active = 0 gals
---------------
8% Mixture DATA:
Amt = 1200 + x ; active = 0.08(1200+x) = 96 + 0.08x gals
-----------------
EQUATION:
active + active = active
0.125x + 0 = 96+0.08x
0.045x = 96
x = 2133 1/3 gallons ( amt of 12.5% that needed for the mix)
============
Cheers,
Stan H.