document.write( "Question 441219: A chemist has two alcohol solutions, one is 20% and one is 50% alcohol solution. He needs 12 liters of a solution that is 45% alcohol, how much of each does he mix? \n" ); document.write( "

Algebra.Com's Answer #304569 by stanbon(75887) $\"\"$ $\"About$

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A chemist has two alcohol solutions, one is 20% and one is 50% alcohol solution. He needs 12 liters of a solution that is 45% alcohol, how much of each does he mix?
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\n" ); document.write( "Equations:
\n" ); document.write( "Quantity Eq.::: t + f = 12 liters
\n" ); document.write( "Alcohol Eq::: 0.20t+.50f = 0.45(12)
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\n" ); document.write( "Multiply thru 1st by 20
\n" ); document.write( "Multiply thru 2nd by 100
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\n" ); document.write( "20t + 20f = 20*12
\n" ); document.write( "20t + 50f = 45*12
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\n" ); document.write( "Subtract and solve for \"f\":
\n" ); document.write( "30f = 25*12
\n" ); document.write( "f = 10 liters (amt. of 50% solution needed)
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\n" ); document.write( "Solve for \"t\":
\n" ); document.write( "t + f = 12
\n" ); document.write( "t = 12-10
\n" ); document.write( "t = 2 liters (amt. of 20% solution needed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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