document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032126>Question 1032126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a village&#127968;, there are exactly:- \r<BR>\n" );
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document.write( "• 10% more boys&#128084; than girls&#128087;\r<BR>\n" );
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document.write( "• 15% more women&#128105; than men&#128104;\r<BR>\n" );
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document.write( "• 20% more children &#128102; than adults &#128115;\r<BR>\n" );
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document.write( "How many boys,     girls,    men,    and    women  are there in the village???\r<BR>\n" );
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document.write( "{The population of the village is less  than 6000)&#127927;&#127879; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646950 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Regarding the children (boys and girls),<BR>\n" );
document.write( "the number of boys is exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2F100=11%2F10 ALIGN=MIDDLE  ALT=\"110%2F100=11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > the number of girls,<BR>\n" );
document.write( "and the number of boys and the number of girls should be whole numbers.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of girls, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F10%29g ALIGN=MIDDLE  ALT=\"%2811%2F10%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of boys,<BR>\n" );
document.write( "must both be whole numbers.<BR>\n" );
document.write( "So would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2B%2811%2F10%29g=%2821%2F10%29g ALIGN=MIDDLE  ALT=\"g%2B%2811%2F10%29g=%2821%2F10%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of children.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The ratio of children to adults is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F100=6%2F5 ALIGN=MIDDLE  ALT=\"120%2F100=6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the ratio of adults to children is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the total number of adults is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29%2821%2F10%29g=%287%2F4%29g ALIGN=MIDDLE  ALT=\"%285%2F6%29%2821%2F10%29g=%287%2F4%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Among the adults (men and women),<BR>\n" );
document.write( "the ratio of number of men to total number of adults is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F%28100%2B115%29=100%2F215=20%2F43 ALIGN=MIDDLE  ALT=\"100%2F%28100%2B115%29=100%2F215=20%2F43\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "the ratio of number of women to total number of adults is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115%2F%28100%2B115%29=115%2F215=23%2F43 ALIGN=MIDDLE  ALT=\"115%2F%28100%2B115%29=115%2F215=23%2F43\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "the number of men is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F43%29%287%2F4%29g=%2835%2F43%29g ALIGN=MIDDLE  ALT=\"%2820%2F43%29%287%2F4%29g=%2835%2F43%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "the number of women is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2823%2F43%29%287%2F4%29g=%2823%2A7%2F%284%2A43%29%29g ALIGN=MIDDLE  ALT=\"%2823%2F43%29%287%2F4%29g=%2823%2A7%2F%284%2A43%29%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The number of women, men, and boys, respectively, are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2823%2A7%2F%284%2A43%29%29g ALIGN=MIDDLE  ALT=\"%2823%2A7%2F%284%2A43%29%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%2F43%29g ALIGN=MIDDLE  ALT=\"%2835%2F43%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F10%29g ALIGN=MIDDLE  ALT=\"%2811%2F10%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and they must all be whole numbers,<BR>\n" );
document.write( "which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be a multiple of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A43 ALIGN=MIDDLE  ALT=\"4%2A43\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43 ALIGN=MIDDLE  ALT=\"43\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The least common multiple is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A4%2A43=20%2A43=highlight%28860%29 ALIGN=MIDDLE  ALT=\"5%2A4%2A43=20%2A43=highlight%28860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The total population would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2B%2823%2A7%2F%284%2A43%29%29g%2B%2835%2F43%29g%2B%2811%2F10%29g=%28%28860%2B5%2A23%2A7%2B20%2A35%2B86%2A11%29%2F860%29g=%28%28860%2B805%2B700%2B946%29%2F860%29g=%283311%2F860%29g ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=860 ALIGN=MIDDLE  ALT=\"g=860\"   DISABLED_style= \"max-width:90%; height:auto;\" > , the total population would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3311 ALIGN=MIDDLE  ALT=\"3311\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The next multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=860 ALIGN=MIDDLE  ALT=\"860\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A860 ALIGN=MIDDLE  ALT=\"2%2A860\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "would make the total population <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3311=6622%3E6000 ALIGN=MIDDLE  ALT=\"2%2A3311=6622%3E6000\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "So, the number of girls is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=highlight%28860%29 ALIGN=MIDDLE  ALT=\"g=highlight%28860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The number of boys is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F10%29g=%2811%2F10%29860=highlight%28946%29 ALIGN=MIDDLE  ALT=\"%2811%2F10%29g=%2811%2F10%29860=highlight%28946%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The number of men is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%2F43%29g=%2835%2F43%29860=highlight%28700%29 ALIGN=MIDDLE  ALT=\"%2835%2F43%29g=%2835%2F43%29860=highlight%28700%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The number of women is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2823%2A7%2F%284%2A43%29%29g=%2823%2A7%2F%284%2A43%29%29860=highlight%28805%29 ALIGN=MIDDLE  ALT=\"%2823%2A7%2F%284%2A43%29%29g=%2823%2A7%2F%284%2A43%29%29860=highlight%28805%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "NOTE:<BR>\n" );
document.write( "There is often more than one way to solve a problem.<BR>\n" );
document.write( "In real life, the problem solver should choose<BR>\n" );
document.write( "a way that is short and comfortable for him/her.<BR>\n" );
document.write( "In school, we also need to cater to the teacher's preferences. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );