document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109172>Question 1109172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I plug this problem into My calculator so I can solve?\r<BR>\n" );
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document.write( "Jane wants to buy a photocopier. The salesman has the following information on 3 models. If all 3 are used, a specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one-half the job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three-fifths of the job is done. Which is the fastest copier, and how long does it take for this copier to finish the whole job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724187 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rate, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = [ jobs done ] / [ time in min ]<BR>\n" );
document.write( "Let the rates of the 3 copiers = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can add the rates to get their rate working together.<BR>\n" );
document.write( "Also: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+ ALIGN=MIDDLE  ALT=\"+R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > x time working = fraction of the job completed.<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F50+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D%2A20+%2B+R%5Bb%5D%2A50+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D%2A20+%2B+R%5Bb%5D%2A50+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D%2A30+%2B+R%5Bc%5D%2A80+=+3%2F5+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D%2A30+%2B+R%5Bc%5D%2A80+=+3%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%2AR%5Ba%5D+=+-50%2AR%5Bb%5D+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+20%2AR%5Ba%5D+=+-50%2AR%5Bb%5D+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80%2AR%5Bc%5D+=+-30%2AR%5Bb%5D+%2B+3%2F5+ ALIGN=MIDDLE  ALT=\"+80%2AR%5Bc%5D+=+-30%2AR%5Bb%5D+%2B+3%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+-%2850%2F20%29%2AR%5Bb%5D+%2B+1%2F40+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+-%2850%2F20%29%2AR%5Bb%5D+%2B+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-%2830%2F80%29%2AR%5Bb%5D+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-%2830%2F80%29%2AR%5Bb%5D+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%285%2F2%29%2AR%5Bb%5D+%2B+10%2F400+%2B+R%5Bb%5D+-+%283%2F8%29%2AR%5Bb%5D+%2B+3%2F400+=+8%2F400+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%2820%2F8%29%2AR%5Bb%5D+%2B+13%2F400+%2B+R%5Bb%5D+-+%283%2F8%29%2AR%5Bb%5D+=+8%2F400+ ALIGN=MIDDLE  ALT=\"+-%2820%2F8%29%2AR%5Bb%5D+%2B+13%2F400+%2B+R%5Bb%5D+-+%283%2F8%29%2AR%5Bb%5D+=+8%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2F8%29%2AR%5Bb%5D+-+%2823%2F8%29%2AR%5Bb%5D+=+-5%2F400+ ALIGN=MIDDLE  ALT=\"+%288%2F8%29%2AR%5Bb%5D+-+%2823%2F8%29%2AR%5Bb%5D+=+-5%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%2815%2F8%29%2AR%5Bb%5D+=+-5%2F400+ ALIGN=MIDDLE  ALT=\"+-%2815%2F8%29%2AR%5Bb%5D+=+-5%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+%28+8%2F15+%29%2A%28+5%2F400+%29+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+%28+8%2F15+%29%2A%28+5%2F400+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+%28+1%2F15+%29%2A%28+5%2F50+%29+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+%28+1%2F15+%29%2A%28+5%2F50+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+1%2F150+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+1%2F150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+-%2850%2F20%29%2AR%5Bb%5D+%2B+1%2F40+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+-%2850%2F20%29%2AR%5Bb%5D+%2B+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+-%285%2F2%29%2A%281%2F150%29+%2B+1.40+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+-%285%2F2%29%2A%281%2F150%29+%2B+1.40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+-1%2F60+%2B+1%2F40+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+-1%2F60+%2B+1%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+-2%2F120+%2B+3%2F120+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+-2%2F120+%2B+3%2F120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+1%2F120+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+1%2F120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-%2830%2F80%29%2AR%5Bb%5D+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-%2830%2F80%29%2AR%5Bb%5D+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-%283%2F8%29%2AR%5Bb%5D+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-%283%2F8%29%2AR%5Bb%5D+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-%283%2F8%29%2A%281%2F150%29+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-%283%2F8%29%2A%281%2F150%29+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-3%2F1200+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-3%2F1200+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+-1%2F400+%2B+3%2F400+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+-1%2F400+%2B+3%2F400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bc%5D+=+1%2F200+ ALIGN=MIDDLE  ALT=\"+R%5Bc%5D+=+1%2F200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "The fastest rate is copier A which is<BR>\n" );
document.write( "1 job / 120 min<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F50+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F120+%2B+1%2F150+%2B+1%2F200+=+1%2F50+ ALIGN=MIDDLE  ALT=\"+1%2F120+%2B+1%2F150+%2B+1%2F200+=+1%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F600+%2B+4%2F600+%2B+3%2F600+=+12%2F600+ ALIGN=MIDDLE  ALT=\"+5%2F600+%2B+4%2F600+%2B+3%2F600+=+12%2F600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F600+=+12%2F600+ ALIGN=MIDDLE  ALT=\"+12%2F600+=+12%2F600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "You can check (2) and (3)<BR>\n" );
document.write( "Find a way to plug the numbers into the calculator, I guess.<BR>\n" );
document.write( "Check my math & get 2nd opinion if needed\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );