document.write( "Question 460431: How much 2% alcohol must be mixed with 10% alcohol to get 2000ml of 6% alcohol \n" ); document.write( "
Algebra.Com's Answer #315827 by Tatiana_Stebko(1539)\"\" \"About 
You can put this solution on YOUR website!
Let x ml - 2% alcohol
\n" ); document.write( "Let y ml - 10% alcohol
\n" ); document.write( "Then \"x%2By=2000\"
\n" ); document.write( "In x ml 2% solution is \"0.02x\"ml of alcohol, in y ml 10% solution is \"0.1y\"ml of alcohol, in 2000 ml 6% solution is \"0.06%2A2000=120\"ml of alcohol, so \"0.02x%2B0.1y=120\"
\n" ); document.write( "The system of equations
\n" ); document.write( "\"system%28x%2By=2000%2C0.02x%2B0.1y=120%29\"
\n" ); document.write( "\"system%28y=2000-x%2C0.02x%2B0.1%282000-x%29=120%29\"
\n" ); document.write( "\"system%28y=2000-x%2C0.02x%2B200-0.1x=120%29\"
\n" ); document.write( "\"system%28y=2000-x%2C-0.08x=-80%29\"
\n" ); document.write( "\"system%28y=2000-x%2Cx=%28-80%29%2F%28-0.08%29%29\"
\n" ); document.write( "\"system%28x=1000%2Cy=2000-1000%29\"
\n" ); document.write( "\"system%28x=1000%2Cy=1000%29\"
\n" ); document.write( "x=1000 ml - 2% alcohol, y=1000 ml - 10% alcohol
\n" ); document.write( ".
\n" ); document.write( "Check
\n" ); document.write( "\"system%281000%2B1000=2000%2C0.02%2A1000%2B0.1%2A1000=120%29\"
\n" ); document.write( "\"system%282000=2000%2C120=120%29\"\r
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