document.write( "Question 232738: You have a solution that is 50% alcohol and a solution that is 80% alcohol. How much of each do you need to mix to get 3 gallons of a solution that is 60% alcohol? \n" ); document.write( "
Algebra.Com's Answer #171897 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! You have a solution that is 50% alcohol and a solution that is 80% alcohol. How much of each do you need to mix to get 3 gallons of a solution that is 60% alcohol? \n" ); document.write( ". \n" ); document.write( "Let x = amount of 50% alcohol \n" ); document.write( "then \n" ); document.write( "3-x = amount of 80% alcohol \n" ); document.write( ". \n" ); document.write( ".50x + .80(3-x) = .60(3) \n" ); document.write( ".50x + 2.4 - .80x = 1.8 \n" ); document.write( "2.4 -.30x = 1.8 \n" ); document.write( "-.30x = -0.6 \n" ); document.write( "x = 2 gallons (50% alcohol) \n" ); document.write( ". \n" ); document.write( "80% alcohol: \n" ); document.write( "3-x = 3-2 = 1 gallon (80% alcohol) \n" ); document.write( " \n" ); document.write( " |