document.write( "Question 558078: Armond has two solutions available in the lab, one with 5% alcohol and another with 13% alcohol. How much of each solution should he mix together to obtain 6 gallons of a solution that contains 8% alcohol. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I have no idea where to even begin on this problem...
\n" ); document.write( "

Algebra.Com's Answer #362902 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Armond has two solutions available in the lab, one with 5% alcohol and another with 13% alcohol. How much of each solution should he mix together to obtain 6 gallons of a solution that contains 8% alcohol.
\n" ); document.write( "---------------------------------------
\n" ); document.write( "alcohol + alcohol = alcohol
\n" ); document.write( "0.06x + 0.13(6-x) = 0.08*6
\n" ); document.write( "-------
\n" ); document.write( "Multiply thru by 100 to get:
\n" ); document.write( "6x + 13*6 - 13x = 8*6
\n" ); document.write( "-7x = -5*6
\n" ); document.write( "x = 30/7
\n" ); document.write( "----
\n" ); document.write( "x = 4 2/7 gallons (amt. of 6% solution)
\n" ); document.write( "----
\n" ); document.write( "6-x = 1 5/7 gallons (amt. of 13% solution)
\n" ); document.write( "=================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================
\n" ); document.write( "
\n" );