document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083807>Question 1083807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a survey 1/3 children like only mango and 25 donot like mango at all also 2/5 children like orange but 16 like none of them. then show above data in venn-diagram and find number of children who like both fruit </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697976 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=697976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is 2 interlocking circles giving you<BR>\n" );
document.write( "3 distinct regions:<BR>\n" );
document.write( "(1) Only like mango<BR>\n" );
document.write( "(2) Like both mango and orange<BR>\n" );
document.write( "(3) Only like orange<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "They tell you that everything outside these<BR>\n" );
document.write( "2 circles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+ ALIGN=MIDDLE  ALT=\"+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > children ( like none of them )<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+ ALIGN=MIDDLE  ALT=\"+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the total number of children<BR>\n" );
document.write( "Area (1) Only like mango = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2F3%29%2AC+ ALIGN=MIDDLE  ALT=\"+%28+1%2F3%29%2AC+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+ ALIGN=MIDDLE  ALT=\"+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > do not like mango.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (3) Only like orange<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+16+=+25+ ALIGN=MIDDLE  ALT=\"+x+%2B+16+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+9+ ALIGN=MIDDLE  ALT=\"+x+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = like orange<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+-+9+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+-+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area (2) Like both mango and orange<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "I have specified the 3 areas and also everything outside ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+ ALIGN=MIDDLE  ALT=\"+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > children )<BR>\n" );
document.write( "so, now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+%281%2F3%29%2AC+%2B+%282%2F5%29%2AC+-+9+%2B+9+%2B+16+ ALIGN=MIDDLE  ALT=\"+C+=+%281%2F3%29%2AC+%2B+%282%2F5%29%2AC+-+9+%2B+9+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+%281%2F3%29%2AC+%2B+%282%2F5%29%2AC+%2B+16+ ALIGN=MIDDLE  ALT=\"+C+=+%281%2F3%29%2AC+%2B+%282%2F5%29%2AC+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+%285%2F15%29%2AC+%2B+%28+6%2F15+%29%2AC+%2B+16+ ALIGN=MIDDLE  ALT=\"+C+=+%285%2F15%29%2AC+%2B+%28+6%2F15+%29%2AC+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15C+=+5C+%2B+6C+%2B+240+ ALIGN=MIDDLE  ALT=\"+15C+=+5C+%2B+6C+%2B+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4C+=+240+ ALIGN=MIDDLE  ALT=\"+4C+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+60+ ALIGN=MIDDLE  ALT=\"+C+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "(2) Like both mango and orange = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2%2F5%29%2AC+-+x+ ALIGN=MIDDLE  ALT=\"+%28+2%2F5%29%2AC+-+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+-+x+=+%282%2F5%29%2A60+-+9+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+-+x+=+%282%2F5%29%2A60+-+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+-+x+=+24+-+9+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+-+x+=+24+-+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+-+x+=+15+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+-+x+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So 15 children like both fruit<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2AC+=+%281%2F3%29%2A60+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2AC+=+%281%2F3%29%2A60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2AC+=+20+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2AC+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area (1)<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F5%29%2AC+-+x+=+15+ ALIGN=MIDDLE  ALT=\"+%282%2F5%29%2AC+-+x+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area (2)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+9+ ALIGN=MIDDLE  ALT=\"+x+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area (3)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+ ALIGN=MIDDLE  ALT=\"+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = children who like neither fruit<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+%2B+15+%2B+9+%2B+16+=+60+ ALIGN=MIDDLE  ALT=\"+20+%2B+15+%2B+9+%2B+16+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+%2B+25+=+60+ ALIGN=MIDDLE  ALT=\"+35+%2B+25+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+=+60+ ALIGN=MIDDLE  ALT=\"+60+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );