document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225271>Question 225271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An automobile radiator contains 16 liters of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should be drained and replaced with pure antifreeze so that there will be 50% antifreeze? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168130 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=168130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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  mixture to be drained <BR>\n" );
document.write( "and replaced with pure antifreeze.<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(liters of antifreeze I end up with)/(final total liters in radiator) = 50%<BR>\n" );
document.write( "Notice that I start with 16 liters in the radiator<BR>\n" );
document.write( "and I end up with 16 liters in the radiator, so I can write<BR>\n" );
document.write( "(liters of antifreeze I end up with)/16 = 50%<BR>\n" );
document.write( "16 liters of 30% antifreeze has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.3%2A16+=+4.8 ALIGN=MIDDLE  ALT=\".3%2A16+=+4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters antifreeze<BR>\n" );
document.write( "I drain out <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, and in doing so, I remove .3x liters<BR>\n" );
document.write( "antifreeze<BR>\n" );
document.write( "So far, I've got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8+-+.3x ALIGN=MIDDLE  ALT=\"4.8+-+.3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters antifreeze in radiator<BR>\n" );
document.write( "Now I pour 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;\" > liters of antifreeze<BR>\n" );
document.write( "I end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8+-+.3x+%2B+x ALIGN=MIDDLE  ALT=\"4.8+-+.3x+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters antifreeze<BR>\n" );
document.write( "My equation is then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.8+%2B+.7x%29%2F16+=+.5 ALIGN=MIDDLE  ALT=\"%284.8+%2B+.7x%29%2F16+=+.5\"   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+%2B+.7x+=+8 ALIGN=MIDDLE  ALT=\"4.8+%2B+.7x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.7x+=+3.2 ALIGN=MIDDLE  ALT=\".7x+=+3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.571 ALIGN=MIDDLE  ALT=\"x+=+4.571\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters<BR>\n" );
document.write( "4.571 liters need to be drained out and<BR>\n" );
document.write( "replaced with pure antifreeze<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( "If I replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with a 30% mixture again, I'll be back<BR>\n" );
document.write( "to 30% in the whole radiator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.3%2A4.571+=+1.371 ALIGN=MIDDLE  ALT=\".3%2A4.571+=+1.371\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters antifreeze<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+-+4.571+=+11.429 ALIGN=MIDDLE  ALT=\"16+-+4.571+=+11.429\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.3%2A11.429+=+3.429 ALIGN=MIDDLE  ALT=\".3%2A11.429+=+3.429\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters antifreeze in rest of radiator <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.371+%2B+3.429%29%2F16+=+.3 ALIGN=MIDDLE  ALT=\"%281.371+%2B+3.429%29%2F16+=+.3\"   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%2F16+=+.3 ALIGN=MIDDLE  ALT=\"4.8%2F16+=+.3\"   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+=+4.8 ALIGN=MIDDLE  ALT=\"4.8+=+4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );