document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985130>Question 985130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16 workers are able to paint 12 cupboards in 6 days. How many days would it take for 12 workers to paint 45 cupboards?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605974 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53765)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "From the given data, the rate of work for &nbsp;1&nbsp; worker per &nbsp;1&nbsp; day is &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%2816%2A6%29 ALIGN=MIDDLE  ALT=\"12%2F%2816%2A6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F96 ALIGN=MIDDLE  ALT=\"12%2F96\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cupboards%2F%28worker%2Aday%29 ALIGN=MIDDLE  ALT=\"cupboards%2F%28worker%2Aday%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, &nbsp;1&nbsp; worker paints &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of a cupboard per day.\r<BR>\n" );
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document.write( "(We assume that all workers have the same rate of work and that all cupboards are identical). \r<BR>\n" );
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document.write( "If 12 workers paint &nbsp;45&nbsp; cupboards in &nbsp;<B>x</B>&nbsp; days, then their rate of work is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%2812%2Ax%29 ALIGN=MIDDLE  ALT=\"45%2F%2812%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cupboards%2F%28worker%2Aday%29 ALIGN=MIDDLE  ALT=\"cupboards%2F%28worker%2Aday%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "It the same rate of work as calculated above, i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cupboards%2F%28worker%2Aday%29 ALIGN=MIDDLE  ALT=\"cupboards%2F%28worker%2Aday%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Thus you have an equation \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%2812%2Ax%29 ALIGN=MIDDLE  ALT=\"45%2F%2812%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence, &nbsp;x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2845%2A8%29%2F12 ALIGN=MIDDLE  ALT=\"%2845%2A8%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > days. \r<BR>\n" );
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document.write( "<B>Answer</B>. &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > days.\r<BR>\n" );
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