SOLUTION: How much water must be added to 6 gallons of a 4% insecticide solution to reduce the concentration of 3%? (Hint: water is 0% insecticide.) I only came up with---- x+6(.04)=.03

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How much water must be added to 6 gallons of a 4% insecticide solution to reduce the concentration of 3%? (Hint: water is 0% insecticide.) I only came up with---- x+6(.04)=.03      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 400736: How much water must be added to 6 gallons of a 4% insecticide solution to reduce the concentration of 3%? (Hint: water is 0% insecticide.)
I only came up with---- x+6(.04)=.03

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let add x gallons of water
then will have (x+6) gallons of a 3% insecticide solution
in a 4% insecticide solution %28100-4%29=96 % of water, so in 6 gallons of a 4% insecticide solution is 0.96%2A6=5.76 gallons of water
in a 3% insecticide solution %28100-3%29=97 % of water, so in (x+6) gallons of a 3% insecticide solution is 0.97%28x%2B6%29 gallons of water
when will add x gallons of water to 5.76 gallons of water will have 0.97%28x%2B6%29 gallons of water
equation
x%2B5.76=0.97%2A%28x%2B6%29
x%2B5.76=0.97%2Ax%2B5.82
x-0.97%2Ax=5.82-5.76
0.03%2Ax=0.06
x=0.06%2F0.03
x=2 gallons of water