document.write( "Question 433417: A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much if the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol? \n" ); document.write( "
Algebra.Com's Answer #300438 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A nurse has a solution that is 25% alcohol and another that is 50% alcohol. How much of the 25% alcohol must she use to make 20 L of a solution that is 40% alcohol? \n" ); document.write( "--------------------------- \n" ); document.write( "Two-variable solution: \n" ); document.write( "Quantity Eq: t + f = 20 L \n" ); document.write( "Alcohol Eq:0.25t+0.50f = 0.40*20 \n" ); document.write( "-------------------------------------- \n" ); document.write( "Multiply thru Quantity by 50 \n" ); document.write( "Multiply thru Alcohol by 100 \n" ); document.write( "-------------------------------------- \n" ); document.write( "50t + 50f = 50*20 \n" ); document.write( "25t + 50f = 40*20 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract and solve for \"t\": \n" ); document.write( "25t = 10*20 \n" ); document.write( "t = 8 L (amt. of 25% solution needed) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |