document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003343>Question 1003343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> alan, bill, cathy, and debbie work at a sub shop. It takes alan 2 minutes to make 1 sub alone. When working together , alan and bill can make 5 subs in 6 minutes, bill and cathy can make 7 subs in 12 mintues, and cathy and debbie can make 9 subs in 20 minutes. If all four employees work together , how many subs can they make in an hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620083 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=620083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  alan, bill, cathy, and debbie work at a sub shop.<BR>\n" );
document.write( "let a = Alan's time to make one sub<BR>\n" );
document.write( "let b = Bill's time to make one sub<BR>\n" );
document.write( "let c = Cathy's time \"  \"<BR>\n" );
document.write( "let d = Debbie's time \"  \"<BR>\n" );
document.write( ":<BR>\n" );
document.write( " It takes alan 2 minutes to make 1 sub alone.<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( " When working together , alan and bill can make 5 subs in 6 minutes,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fa ALIGN=MIDDLE  ALT=\"6%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2 ALIGN=MIDDLE  ALT=\"6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "3 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 - 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fb ALIGN=MIDDLE  ALT=\"6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "2b = 6<BR>\n" );
document.write( "b = 3 min for bill to make 1 sub<BR>\n" );
document.write( ":<BR>\n" );
document.write( " bill and cathy can make 7 subs in 12 mintues, and<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;\" > = 7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F3 ALIGN=MIDDLE  ALT=\"12%2F3\"   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;\" > = 7<BR>\n" );
document.write( "<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;\" > = 7 - 4<BR>\n" );
document.write( "<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;\" > = 3<BR>\n" );
document.write( "3c = 12<BR>\n" );
document.write( "c = 4 min for Cathy to make 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( " cathy and debbie can make 9 subs in 20 minutes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fc ALIGN=MIDDLE  ALT=\"20%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F4 ALIGN=MIDDLE  ALT=\"20%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9 - 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "4d = 20<BR>\n" );
document.write( "d = 5 min for Debbie to make 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( " If all four employees work together , how many subs can they make in an hour?<BR>\n" );
document.write( "All 4 in 60 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fa ALIGN=MIDDLE  ALT=\"60%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fb ALIGN=MIDDLE  ALT=\"60%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fc ALIGN=MIDDLE  ALT=\"60%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fd ALIGN=MIDDLE  ALT=\"60%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "replace the values for each <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F2 ALIGN=MIDDLE  ALT=\"60%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F3 ALIGN=MIDDLE  ALT=\"60%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F4 ALIGN=MIDDLE  ALT=\"60%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F5 ALIGN=MIDDLE  ALT=\"60%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "30 + 20 + 15 + 12 = 77 subs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );