SOLUTION: A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% aci

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% aci      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 994064: A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acid solution?
Gabe neeeds ? liters of the 40% solution.
He also needs ? liters of the 70% solution.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A scientist needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acid solution?
----------------
Equation:
acid + acid = acid
----------------------
0.40x + 0.70(60-x) = 0.60*60
-----
40x + 70*60 - 70x = 60*60
-----
-30x = -10*60
x = 20 liters
----
Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
-----
Cheers,
Stan H.