document.write( "Question 213481: Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 70 quarts that is 35% alcohol? \n" ); document.write( "
Algebra.Com's Answer #161271 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 70 quarts that is 35% alcohol? \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "alcohol + alcohol = alcohol \n" ); document.write( "0.25x + 0.75(70-x) = 0.35*70 \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "25x + 75*70 - 75x = 35*70 \n" ); document.write( "-50x = -40*70 \n" ); document.write( "x = 56 quarts (amount of 25% solution needed in the mix) \n" ); document.write( "70-x = 14 quarts (amount of 75% solution needed in the mix) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |