document.write( "Question 1197844: Two alcohol solutions consists of a 35 gallons of 35% alcohol and other solutions containing 50% alcohol. If the two solutions are combined together, they will have a mixture of 40% alcohol. How many gallons of the solutions containing 50% alcohol? \n" ); document.write( "

Algebra.Com's Answer #831276 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two alcohol solutions consists of a 35 gallons of 35% alcohol and other solutions containing 50% alcohol. If the two solutions are combined together, they will have a mixture of 40% alcohol. How many gallons of the solutions containing 50% alcohol?

\r\n" );
document.write( "                 gals. of| % of  |  gals. of    |\r\n" );
document.write( "                  liquid |alcohol|pure alcohol  |\r\n" );
document.write( "First solution  |  35    |  0.35 | 0.35(35)     |  <--this\r\n" );
document.write( "Second solution |   x    |  0.50 | 0.50x        |  <--plus this         \r\n" );
document.write( "Final solution  | 35+x   |  0.40 | 0.40(35+x)   |  <--equals this\r\n" );
document.write( "\r\n" );
document.write( "0.35(35)+0.50x = 0.40(35+x)\r\n" );
document.write( "   12.25+0.50x =  14+0.40x\r\n" );
document.write( "\r\n" );
document.write( "You finish solving for x\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );