document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965964>Question 965964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. Together they finished the entire manuscript in 4 days. Had Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days. How long would it have taken Agnes to encode the manuscript alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590446 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=590446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. <BR>\n" );
document.write( "Together they finished the entire manuscript in 4 days. <BR>\n" );
document.write( "Had Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days.<BR>\n" );
document.write( " How long would it have taken Agnes to encode the manuscript alone?<BR>\n" );
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document.write( "let a = time for Agnes to do the job alone<BR>\n" );
document.write( "let x = time for Xander to do it<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1, write an equation for each scenario<BR>\n" );
document.write( "\"After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. Together they finished the entire manuscript in 4 days. '\"<BR>\n" );
document.write( "Agnes worked 9 days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fa ALIGN=MIDDLE  ALT=\"9%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Fa ALIGN=MIDDLE  ALT=\"7%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply the 1st equation by 3, the 2nd equation by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2Fa ALIGN=MIDDLE  ALT=\"27%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fx ALIGN=MIDDLE  ALT=\"12%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2Fa ALIGN=MIDDLE  ALT=\"14%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fx ALIGN=MIDDLE  ALT=\"12%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "--------------------------------Subtraction eliminates x, find a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Fa ALIGN=MIDDLE  ALT=\"13%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "a = 13 days for Agnes to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To confirm this we have to find how long it take Xan alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F13 ALIGN=MIDDLE  ALT=\"9%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 13x, cancel the denominators<BR>\n" );
document.write( "9x + 13(4) = 13x<BR>\n" );
document.write( "52 = 13x - 9x<BR>\n" );
document.write( "52 = 4x<BR>\n" );
document.write( "x = 52/4 <BR>\n" );
document.write( "x = 13 days for Xan also<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check it in the 2nd equation with these values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F13 ALIGN=MIDDLE  ALT=\"7%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F13 ALIGN=MIDDLE  ALT=\"6%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F13 ALIGN=MIDDLE  ALT=\"13%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );