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?

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) (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?
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Equation:
alch + alch = alch
0.40x + 0.70(20-x) = 0.50*20
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40x +70*20 - 70x = 50*20
-30x = -20*20
x = (2/3)20 = 13 1/3 gallons (amt. of 40% solution needed)
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20-x = 6 2/3 gallons (amt. of 70% solution needed)
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Cheers,
Stan H.
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