SOLUTION: How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%      Log On


   

Question 8065: How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the required number of milliliters of pure alcohol.
Then we have:
400(15%) + x(100%) = (400+x)(32%) Change the percents to decimals.
400(0.15) + x(1) = (400+x)(0.32) Simplify and solve for x.
60 + x = 128 + 0.32x Subtract 0.32x from both sides.
60 + 0.68x = 128 Subtract 60 from both sides.
0.68x = 68 Divide both sides by 0.68
x = 100 ml of pure alcohol is required.
Check:
400(0.15) + 100 = (400+100)(0.32)
60 + 100 = 500(0.32)
160 = 160 Check ok.