document.write( "Question 66306: A 6-quart cooling system is checked and found to be filled with a solution that is 20% antifreeze. The desired strength of the solution is 60 % antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength? \n" ); document.write( "
Algebra.Com's Answer #47032 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! A 6-quart cooling system is checked and found to be filled with a solution that is 20% antifreeze. The desired strength of the solution is 60 % antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength? \n" ); document.write( "You start with 6 quarts of 20% antifreeze .20*(6)=1.2 \n" ); document.write( "You take out (x amount) -.20x=-.2x \n" ); document.write( "You put in 100% of (the same x amount) +1.00x=+x \n" ); document.write( "You want 6 quarts of 60% antifreeze .60(6)=3.6 \n" ); document.write( "The problem to solve: \n" ); document.write( ".20(6)-.20x+1.00x=.60(6) \n" ); document.write( "1.2-.2x+x=3.6 \n" ); document.write( "1.2+.8x=3.6 \n" ); document.write( "1.2-1.2+.8x=3.6-1.2 \n" ); document.write( ".8x=2.4 \n" ); document.write( ".8x/.8=2.4/.8 \n" ); document.write( "x=3 qts\r \n" ); document.write( "\n" ); document.write( "Happy Calculating!!! \n" ); document.write( " \n" ); document.write( " |