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) ![]() 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( " |