document.write( "Question 637157: Calculate how much 20% alcohol solution and 60% alcohol solution must be mixed to end up with exactly 12 gallons of a 50% alcohol solution. You'll need ____ gallons of the 60% solution. \n" ); document.write( "
Algebra.Com's Answer #401509 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Calculate how much 20% alcohol solution and 60% alcohol solution must be mixed \n" ); document.write( " to end up with exactly 12 gallons of a 50% alcohol solution. \n" ); document.write( "You'll need ____ gallons of the 60% solution. \n" ); document.write( ": \n" ); document.write( "Let x = amt of 60% solution required \n" ); document.write( "the total amt will be 12 gals, therefore: \n" ); document.write( "(12-x) = amt of 20% solution \n" ); document.write( ": \n" ); document.write( ".60x + .20(12-x) = .50(12) \n" ); document.write( ".60x + 2.4 - .20x = 6 \n" ); document.write( ".60x - .20x = 6 - 2.4 \n" ); document.write( ".40x = 3.6 \n" ); document.write( "x = 3.6/.4 \n" ); document.write( "x = 9 gal of 60% solution required \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( ".6(9) + .2(3) = 6 \n" ); document.write( " \n" ); document.write( " |