document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213393>Question 213393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an automobile radiator holds 6 liters of fluid. there is currently a mixture in the radiator that is 80% antifreeze and 20% water.  how much of this mixture should be drained and replaced by pure anitfreezes so that the resulting mixture is 90% antifreeze? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161198 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the best way (for me) to solve this is to<BR>\n" );
document.write( "express an equation in words that sum up the <BR>\n" );
document.write( "whole situation.<BR>\n" );
document.write( "The 1st thing to realize is that you start out with<BR>\n" );
document.write( "6 liters of fluid and you end up with 6 liters<BR>\n" );
document.write( "of fluid<BR>\n" );
document.write( "Here it is in words:<BR>\n" );
document.write( "((original amount of antifreeze) - (amount of antifreeze drained out) + (amount of antifreeze put back in)) <BR>\n" );
document.write( "[all divided by]<BR>\n" );
document.write( "(total amount of fluid I end up with) = 90%<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of fluid I drain out and replace with pure antifreeze<BR>\n" );
document.write( "Original amount of antifreeze = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8%2A6+=+4.8 ALIGN=MIDDLE  ALT=\".8%2A6+=+4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters<BR>\n" );
document.write( "Amount of antfreeze drained out = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8x ALIGN=MIDDLE  ALT=\".8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Amount of antifreeze put back in = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Now I can write the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.8+-+.8x+%2B+x%29%2F6+=+.9 ALIGN=MIDDLE  ALT=\"%284.8+-+.8x+%2B+x%29%2F6+=+.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8+-+.8x+%2B+x+=+5.4 ALIGN=MIDDLE  ALT=\"4.8+-+.8x+%2B+x+=+5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2x+=+5.4+-+4.8 ALIGN=MIDDLE  ALT=\".2x+=+5.4+-+4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2x+=+.6 ALIGN=MIDDLE  ALT=\".2x+=+.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3 liters, or 1/2 the fluid in the radiator must<BR>\n" );
document.write( "be drained and replaced with pure antifreeze to get<BR>\n" );
document.write( "90% antifreeze<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "There must be 10% water in the final solution<BR>\n" );
document.write( "I start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2%2A6+=+1.2 ALIGN=MIDDLE  ALT=\".2%2A6+=+1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters water<BR>\n" );
document.write( "I drain out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2x+=+.2%2A3 ALIGN=MIDDLE  ALT=\".2x+=+.2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6 ALIGN=MIDDLE  ALT=\".6\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters water<BR>\n" );
document.write( "I end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2+-+.6+=+.6 ALIGN=MIDDLE  ALT=\"1.2+-+.6+=+.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters water<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6+=+.1%2A6 ALIGN=MIDDLE  ALT=\".6+=+.1%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, I do end up with 10% water<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );