document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=492733>Question 492733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Doy and his son can do a job in 4 1/2 days, After they have worked for 3 days, Doy got sick and the son finished the task in 6 more days. How many days each required to do the entire task? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335193 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=335193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Doy and his son can do a job in 4 1/2 days, <BR>\n" );
document.write( "After they have worked for 3 days, Doy got sick and the son finished the task in 6 more days.<BR>\n" );
document.write( " How many days each required to do the entire task?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = D's working time alone to do the job<BR>\n" );
document.write( "Let s = son's working time to do it<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Doy and his son can do a job in 4 1/2 days,\" therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2Fd ALIGN=MIDDLE  ALT=\"4.5%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2Fs ALIGN=MIDDLE  ALT=\"4.5%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the given information, we know that the son worked a total 9 days<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fd ALIGN=MIDDLE  ALT=\"3%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fs ALIGN=MIDDLE  ALT=\"9%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 2, use elimination here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fd ALIGN=MIDDLE  ALT=\"9%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fs ALIGN=MIDDLE  ALT=\"9%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fd ALIGN=MIDDLE  ALT=\"3%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fs ALIGN=MIDDLE  ALT=\"9%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "----------------------------subtraction eliminates s find d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fd ALIGN=MIDDLE  ALT=\"6%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply both sides by d<BR>\n" );
document.write( "d = 6 days for D to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6 ALIGN=MIDDLE  ALT=\"3%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fs ALIGN=MIDDLE  ALT=\"9%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 6s, results:<BR>\n" );
document.write( "3s + 6(9) = 6s<BR>\n" );
document.write( "54 = 6s - 3s<BR>\n" );
document.write( "54 = 3s<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F3 ALIGN=MIDDLE  ALT=\"54%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 18 days for the son to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can check these solutions in the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2F6 ALIGN=MIDDLE  ALT=\"4.5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2F18 ALIGN=MIDDLE  ALT=\"4.5%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".75 + .25 = 1  </SPAN>\n" );
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