document.write( "Question 323306: Gabrielle, a chemistry student has a 70% alcohol solution and 40% alcohol solution. Her teacher instructed her to prepare 150ml of a solution that is 60% alcohol by mixing amounts from each of the available solutions. How much of each solution should she use? \n" ); document.write( "
Algebra.Com's Answer #231423 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Gabrielle, a chemistry student has a 70% alcohol solution and 40% alcohol solution. Her teacher instructed her to prepare 150ml of a solution that is 60% alcohol by mixing amounts from each of the available solutions. How much of each solution should she use? \n" ); document.write( ". \n" ); document.write( "Let x = amount of 70% alcohol solution \n" ); document.write( "then \n" ); document.write( "150-x = amount of 40% alcohol solution \n" ); document.write( ". \n" ); document.write( ".70x + .40(150-x) = .60(150) \n" ); document.write( ".70x + 60 - .40x = .60(150) \n" ); document.write( ".30x + 60 = .60(150) \n" ); document.write( ".30x + 60 = 90 \n" ); document.write( ".30x = 30 \n" ); document.write( "x = 100 ml of 70% alcohol solution \n" ); document.write( ". \n" ); document.write( "40% alcohol solution: \n" ); document.write( "150-x = 150-100 = 50 ml \n" ); document.write( " \n" ); document.write( " |