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 #468319 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468319\">put this solution on YOUR website!</A><BR><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.<BR>\n" );
document.write( " Danielle worked on the project alone for four days before Mackenzie joined her.<BR>\n" );
document.write( " How many days did Mackenzie work on the project until it was done?<BR>\n" );
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document.write( "Let m = no. of days that M worked to complete the job with D<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(m+4) = no. of days worked by D<BR>\n" );
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document.write( "Let the completed jobe = 1<BR>\n" );
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document.write( "the shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%2B4%29%2F12 ALIGN=MIDDLE  ALT=\"%28m%2B4%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F48 ALIGN=MIDDLE  ALT=\"m%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "Clear the denominators, by multiplying by 48, resulting in:<BR>\n" );
document.write( "4(m+4) + m = 48<BR>\n" );
document.write( "4m + 16 + m = 48<BR>\n" );
document.write( "5m = 48 - 16<BR>\n" );
document.write( "m = 32/5<BR>\n" );
document.write( "m = 6.4 days worked by M<BR>\n" );
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document.write( "We can confirm this by finding what fraction of the job each worked<BR>\n" );
document.write( "the two fraction should add up to 1, (D worked 10.4 days)<BR>\n" );
document.write( "10.4/12 = .867<BR>\n" );
document.write( "6.4/48  = .133<BR>\n" );
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document.write( "total to: 1.00<BR>\n" );
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