SOLUTION: if you have a 40% alcohol solution and a 70% alcohol solution, how much of each do you need to make 20 gallons of a solution that is 50% alcohol?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: if you have a 40% alcohol solution and a 70% alcohol solution, how much of each do you need to make 20 gallons of a solution that is 50% alcohol?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 787043: if you have a 40% alcohol solution and a 70% alcohol solution, how much of each do you need to make 20 gallons of a solution that is 50% alcohol?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if you have a 40% alcohol solution and a 70% alcohol solution, how much of each do you need to make 20 gallons of a solution that is 50% alcohol?
--------
Equation:
alch + alch = alch
0.40x + 0.70(20-x) = 0.50*20
--------
40x +70*20 - 70x = 50*20
-30x = -20*20
x = (2/3)20 = 13 1/3 gallons (amt. of 40% solution needed)
----
20-x = 6 2/3 gallons (amt. of 70% solution needed)
==============
Cheers,
Stan H.
==============