document.write( "Question 235297: A chemist has two solutions: one containing 40% alcohol and another containing 70% alcohol. How much of each should be used to obtain 80 liters of 49% solution. \n" ); document.write( "
Algebra.Com's Answer #173376 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A chemist has two solutions: one containing 40% alcohol and another containing 70% alcohol. How much of each should be used to obtain 80 liters of 49% solution. \n" ); document.write( ". \n" ); document.write( "Let x= liters of 40% alcohol \n" ); document.write( "then \n" ); document.write( "80-x = liters of 70% alcohol \n" ); document.write( ". \n" ); document.write( ".40x + .70(80-x) = .49(80) \n" ); document.write( ".40x + 56 - .70x = 39.2 \n" ); document.write( "56 - .30x = 39.2 \n" ); document.write( "-.30x = -16.8 \n" ); document.write( "x = 56 liters of 40% alcohol \n" ); document.write( ". \n" ); document.write( "70% alcohol: \n" ); document.write( "80-x = 80-56 = 24 liters of 70% alcohol\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |