Question 1144648
How much of a 40% solution of alcohol and how much of a 80% solution should be mixed to give 40 gallons of a 50% solutions?


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How much of a L% solution of alcohol and how much of a 2L% solution should be mixed to give M gallons of a T% solutions?
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x of the L% solution
M-x of the 2L% solution

{{{Lx+2L(M-x)=MT}}}
Solve for x.

{{{Lx+2LM-2Lx=MT}}}
{{{(L-2L)x+2LM=MT}}}
{{{(L-2L)x=MT-2ML}}}
{{{(2L-L)x=2ML-MT}}}
{{{Lx=(2ML-MT)}}}


{{{x=(2ML-MT)/L}}}

{{{highlight(x=(2M-T)(M/L))}}}-------------substitute your values and evaluate.