document.write( "Question 484542: Can you help me answer this: A car radiator contains 10 liters of 30% solution. How many liters will have to be replaced with pur antifreeze if the resulting solution is to be 50% antifreeze?\r
\n" );
document.write( "\n" );
document.write( "Is 4 liters correct? \n" );
document.write( "
Algebra.Com's Answer #331534 by chessace(471)![]() ![]() You can put this solution on YOUR website! Nope. \n" ); document.write( "As usual x = amount replaced. \n" ); document.write( "You are going to take out x which consists of .3 AF (and .7 not). \n" ); document.write( "Then put in x of all AF. \n" ); document.write( "Required: 50% AF after this operation. \n" ); document.write( "I.e., new + old AF = 50 % of 10 liters = 5 liters. \n" ); document.write( "The old AF is the amount in middle of operation * its % AF \n" ); document.write( "Mid amount: 10 - x, AF still 30% or .3 \n" ); document.write( "x + (10 - x) * .3 = 5 \n" ); document.write( "x + 10*0.3 - .3 x = 5 \n" ); document.write( "(1-0.3)x + 3 = 5 \n" ); document.write( ".7 x = 5 - 3 \n" ); document.write( "7 x = 20 \n" ); document.write( "x = 20/7 liters [< 3] \n" ); document.write( " \n" ); document.write( " |