document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166469>Question 1166469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A few children working together can do a piece of work in 18 days. If the number of children employed on the work is made double, how long would they take to complete half of the work? </SPAN>\n" );
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document.write( "From \"a few children\", to \"made double\" that number, the work rate becomes twice what the \"few children\" were.\r<BR>\n" );
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document.write( "How much time to do half the work?<BR>\n" );
document.write( "Instead of just half of 18 days, the time would be half of half of 18 days, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F2 ALIGN=MIDDLE  ALT=\"9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F2 ALIGN=MIDDLE  ALT=\"4%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > days.\r<BR>\n" );
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document.write( "The exercise using some algebra---------------------<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=W%2FT ALIGN=MIDDLE  ALT=\"R=W%2FT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Work rate is amount of work divided by time.\r<BR>\n" );
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document.write( "If rate depends on how many workers, then for N workers<BR>\n" );
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document.write( "Your example problem:<BR>\n" );
document.write( "\"a few children\", n<BR>\n" );
document.write( "\"double the amount of children\", 2n<BR>\n" );
document.write( "Time for n children to do 1 job, 18 days<BR>\n" );
document.write( "\"a piece of work\", W=1<BR>\n" );
document.write( "Work rate of one child, r<BR>\n" );
document.write( "The time asked in the question, x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28nr%2A18=1%2C2nr%2Ax=1%2F2%29 ALIGN=MIDDLE  ALT=\"system%28nr%2A18=1%2C2nr%2Ax=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve this system for the value of x. </SPAN>\n" );
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