document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110819>Question 1110819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brandon and Chris together can do a piece of work in 12 days. After Brandon has worked alone for 5 days, Chris finishes the work alone in 26 days. In what time can each do the work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725820 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=725820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Brandon and Chris together can do a piece of work in 12 days.<BR>\n" );
document.write( " After Brandon has worked alone for 5 days, Chris finishes the work alone in 26 days.<BR>\n" );
document.write( " In what time can each do the work?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let b = time required by Brandon working alone<BR>\n" );
document.write( "let c = time required by Chris<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Each will do a fraction of the work, the two fractions add up to 1<BR>\n" );
document.write( "\"Brandon and Chris together can do a piece of work in 12 days. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fc ALIGN=MIDDLE  ALT=\"12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "\" After Brandon has worked alone for 5 days, Chris finishes the work alone in 26 days.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fb ALIGN=MIDDLE  ALT=\"5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2Fc ALIGN=MIDDLE  ALT=\"26%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "1 = 1 therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fc ALIGN=MIDDLE  ALT=\"12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fb ALIGN=MIDDLE  ALT=\"5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2Fc ALIGN=MIDDLE  ALT=\"26%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fb ALIGN=MIDDLE  ALT=\"5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2Fc ALIGN=MIDDLE  ALT=\"26%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fc ALIGN=MIDDLE  ALT=\"12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Fb ALIGN=MIDDLE  ALT=\"7%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2Fc ALIGN=MIDDLE  ALT=\"14%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "7c = 14b<BR>\n" );
document.write( "divide both sides by 7<BR>\n" );
document.write( "c = 2b<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace c with 2b in the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%282b%29 ALIGN=MIDDLE  ALT=\"12%2F%282b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "multiply by 2b<BR>\n" );
document.write( "2(12) + 12 = 2b<BR>\n" );
document.write( "24 + 12 = 2b<BR>\n" );
document.write( "36 = 2b<BR>\n" );
document.write( "b = 36/2<BR>\n" );
document.write( "b = 18 days, Brandon alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "c = 2(18) = 36 days Chris alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that works in the 2nd statement<BR>\n" );
document.write( "\"After Brandon has worked alone for 5 days, Chris finishes the work alone in 26 days.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F18 ALIGN=MIDDLE  ALT=\"5%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F36 ALIGN=MIDDLE  ALT=\"26%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F36 ALIGN=MIDDLE  ALT=\"10%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F36 ALIGN=MIDDLE  ALT=\"26%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F36 ALIGN=MIDDLE  ALT=\"36%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1  \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );