document.write( "Question 703384: the cooling system of car has a capacity of 15 liters. If the system is currently filled with a mixture that is 40% anitfreeze, how much if this mixture should be drained and replaced with pure anitfreeze so that the system is filled with a solution this is 50% antifreeze? \n" ); document.write( "

Algebra.Com's Answer #433489 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = liters of mixture to be drained
\n" ); document.write( "and replaced with pure antifreeze
\n" ); document.write( "At the start,
\n" ); document.write( " $\"+.4%2A15+=+6+\"$ liters of pure antifreeze in 40% mixture
\n" ); document.write( " $\"+4x+\"$ = liters of pure antifreeze in mixture drained
\n" ); document.write( "--------------
\n" ); document.write( " $\"+%28+6+-+.4x+%2B+x+%29+%2F+15+=+.5+\"$
\n" ); document.write( " $\"+%28+6+%2B+.6x+%29+%2F+15+=+.5+\"$
\n" ); document.write( " $\"+6+%2B+.6x+=+.5%2A15+\"$
\n" ); document.write( " $\"+.6x+=+7.5+-+6+\"$
\n" ); document.write( " $\"+.6x+=+1.5+\"$
\n" ); document.write( " $\"+x+=+1.5+%2F+.6+\"$
\n" ); document.write( " $\"+x+=+2.5+\"$
\n" ); document.write( "2.5 liters of mixture must be drained
\n" ); document.write( "and replaced with pure antifreeze
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+6+-+.4%2A2.5+%2B+2.5+%29+%2F+15+=+.5+\"$
\n" ); document.write( " $\"+%28+8.5+-+1+%29+%2F+15+=+.5+\"$
\n" ); document.write( " $\"+7.5+=+.5%2A15+\"$
\n" ); document.write( " $\"+7.5+=+7.5+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );