document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768474>Question 768474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Danielle can complete a project in twelve days and Mackenzie can do the same project in forty-eight days. Danielle worked on the project alone for four days before Mackenzie joined her. How many days did Mackenzie work on the project until it was done?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468308 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Danielle's rate: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > job per day<BR>\n" );
document.write( "MacKenzie's rate: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F48 ALIGN=MIDDLE  ALT=\"1%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > job per day<BR>\n" );
document.write( "Their combined rate: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12%2B1%2F48=5%2F48 ALIGN=MIDDLE  ALT=\"1%2F12%2B1%2F48=5%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > job per day<BR>\n" );
document.write( "Basically r*d=j ----------- r is rate, d is days, j is job quantity\r<BR>\n" );
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document.write( "Danielle alone, 4 days.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F24%29%2A4 ALIGN=MIDDLE  ALT=\"%281%2F24%29%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "MacKz joined Danielle, d days, unknown.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F48%29%2Ad ALIGN=MIDDLE  ALT=\"%285%2F48%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The project or job was done in 4+d days.<BR>\n" );
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document.write( "SOLVE FOR d.\r<BR>\n" );
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document.write( "To begin the symbolic solving,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%281%2F24%29%2A4%2B48%285%2F48%29%2Ad=48 ALIGN=MIDDLE  ALT=\"48%281%2F24%29%2A4%2B48%285%2F48%29%2Ad=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A4%2B5d=48 ALIGN=MIDDLE  ALT=\"2%2A4%2B5d=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d=48-8=40 ALIGN=MIDDLE  ALT=\"5d=48-8=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=8%29 ALIGN=MIDDLE  ALT=\"highlight%28d=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____________________so actually finished solution.<BR>\n" );
document.write( "8 days to finish with MacKenzie. </SPAN>\n" );
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