document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767063>Question 767063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two vessels contain mixture of alcohol and water. In one there is three times as much as alcohol as water; in the other, five times as much water as alcohol. How much must be drawn off from each to fill a third vessel which holds 7 gallons, in order that its contents may be half alcohol and half water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467384 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=467384\">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;\" > = gallons of mixture to be drawn off<BR>\n" );
document.write( "from the 3:1 alcohol to water mixture<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;\" > = gallons of mixture to be drawn off<BR>\n" );
document.write( "from the 1:5 alcohol to water mixture<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be alcohol<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be alcohol<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+7+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+7+\"   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+%283%2F4%29%2Aa+%2B+%28+1%2F6%29%2Ab+%29+%2F+7+=+.5+ ALIGN=MIDDLE  ALT=\"+%28+%283%2F4%29%2Aa+%2B+%28+1%2F6%29%2Ab+%29+%2F+7+=+.5+\"   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=+%28+%283%2F4%29%2Aa+%2B+%28+1%2F6%29%2Ab+%29+=+3.5+ ALIGN=MIDDLE  ALT=\"+%28+%283%2F4%29%2Aa+%2B+%28+1%2F6%29%2Ab+%29+=+3.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+ ALIGN=MIDDLE  ALT=\"+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+%2B+2b+=+42+ ALIGN=MIDDLE  ALT=\"+9a+%2B+2b+=+42+\"   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=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "I have to run- solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%5D%5D%5D+and+%7B%7B%7B+b+ ALIGN=MIDDLE  ALT=\"+a+%5D%5D%5D+and+%7B%7B%7B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );