SOLUTION: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 117612: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.
--------------
Amt of 60% solution = 2 gallons ; amt of active ingredient = 0.6*2 = 1.2 gallons
---------------
Amt of 40% solution = x gallons; amt of active = 0.4x gallons
---------------------------
Amt of mixture = (x+2) gallons; amt of active = 0.5(x+2) gallons
-------------------
EQUATION:
active + active = active
1.2 + 0.4x = 0.5(x+2)
1.2 + 0.4x = 0.5x + 1
0.1x = 0.2
x = 2 gallons (amount of 40% solution needed in the mixture)
=============
Cheers,
Stan H.