document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030169>Question 1030169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Uncle Donald could do 2 jobs in 3 days and Cousin Kelly could do 4 jobs in 7 days. Cousin Kelly worked alone for 3 days before Uncle Donald joined in. How long would they have to work together to complete a total of 8 jobs? <BR>\n" );
document.write( "---I have an idea of what must be done to solve this problem, but I need clarification. An explanation would be amazing. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645071 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=645071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Uncle Donald could do 2 jobs in 3 days and Cousin Kelly could do 4 jobs in 7 days.<BR>\n" );
document.write( "Find how long each will take to do one job<BR>\n" );
document.write( "Donald: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5 days per job<BR>\n" );
document.write( "Kelly: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F4 ALIGN=MIDDLE  ALT=\"7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.75 days per job<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Cousin Kelly worked alone for 3 days before Uncle Donald joined in.<BR>\n" );
document.write( " How long would they have to work together to complete a total of 8 jobs?<BR>\n" );
document.write( "let t = how long they need to work together to complete 8 jobs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B3%29%29%2F1.75 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%29%2F1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F1.5 ALIGN=MIDDLE  ALT=\"t%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "multiply equation by the least common denominator; 2.625<BR>\n" );
document.write( "2.625*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B3%29%29%2F1.75 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%29%2F1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2.625*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F1.5 ALIGN=MIDDLE  ALT=\"t%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.625(8)<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "1.5(t+3) + 1.75t = 21<BR>\n" );
document.write( "1.5t + 4.5 + 1.75t = 21<BR>\n" );
document.write( "3.25t = 21 - 4.5<BR>\n" );
document.write( "3.25t = 16.5<BR>\n" );
document.write( "t = 16.5/3.25<BR>\n" );
document.write( "t = 5.1 days working together<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution: Kelly worked 5.1 + 3 = 8.1 days<BR>\n" );
document.write( "8.1/1.75 = 4.6 jobs<BR>\n" );
document.write( "5.1/1.5  + 3.4 jobs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "total jobs: 8.0\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );