document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716949>Question 716949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "An engine has a 6.6 litre capacity cooling system. If the most ideal solution of antifreeze for this engine is a 57.6 % solution (a mix of 57.6 % pure antifreeze and 42.4 % water). How much pure antifreeze (in litres) must be combined with a 29.4 % solution to achieve 6.6 litres of the ideal solution?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440051 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=440051\">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=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of pure antifreeze to be used<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of 29.4% solution to be used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.294b+ ALIGN=MIDDLE  ALT=\"+.294b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = liters of pure antifreeze in 29.4% solution<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+6.6+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+6.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+%2B+.294b+%29+%2F+6.6+=+.576+ ALIGN=MIDDLE  ALT=\"+%28+a+%2B+.294b+%29+%2F+6.6+=+.576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+.294b+=+.576%2A6.6+ ALIGN=MIDDLE  ALT=\"+a+%2B+.294b+=+.576%2A6.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+.294b+=+3.8016+ ALIGN=MIDDLE  ALT=\"+a+%2B+.294b+=+3.8016+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1000a+%2B+294b+=+3802+ ALIGN=MIDDLE  ALT=\"+1000a+%2B+294b+=+3802+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+294+ ALIGN=MIDDLE  ALT=\"+294+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1000a+%2B+294b+=+3802+ ALIGN=MIDDLE  ALT=\"+1000a+%2B+294b+=+3802+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-294a+-+294b+=+-1940+ ALIGN=MIDDLE  ALT=\"+-294a+-+294b+=+-1940+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+706a+=+1862+ ALIGN=MIDDLE  ALT=\"+706a+=+1862+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2.6374+ ALIGN=MIDDLE  ALT=\"+a+=+2.6374+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.6374+%2B+b+=+6.6+ ALIGN=MIDDLE  ALT=\"+2.6374+%2B+b+=+6.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+3.9626+ ALIGN=MIDDLE  ALT=\"+b+=+3.9626+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.6374 liters of pure antifreeze must be used<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2.6374+%2B+.294%2A3.9626+%29+%2F+6.6+=+.576+ ALIGN=MIDDLE  ALT=\"+%28+2.6374+%2B+.294%2A3.9626+%29+%2F+6.6+=+.576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2.6374+%2B+1.1650+%29+%2F+6.6+=+.576+ ALIGN=MIDDLE  ALT=\"+%28+2.6374+%2B+1.1650+%29+%2F+6.6+=+.576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.8024+%2F+6.6+=+.576+ ALIGN=MIDDLE  ALT=\"+3.8024+%2F+6.6+=+.576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.8024+=+3.8016+ ALIGN=MIDDLE  ALT=\"+3.8024+=+3.8016+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK- I think error is due to rounding off\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );