document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203837>Question 1203837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey was conducted using 120 people. 52 of the people said they liked apples and 27 said they liked grapes. 6 people said they liked both apples and grapes.<BR>\n" );
document.write( "How many of the people liked neither of these two types of fruit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839696 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+people ALIGN=MIDDLE  ALT=\"120+people\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52 ALIGN=MIDDLE  ALT=\"52\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the people said they liked apples <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27+ ALIGN=MIDDLE  ALT=\"27+\"   DISABLED_style= \"max-width:90%; height:auto;\" >said they liked grapes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > people said they liked both apples and grapes\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > people said they liked both apples and grapes, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52-6=46 ALIGN=MIDDLE  ALT=\"52-6=46\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the people  like only apples <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27-6=21+ ALIGN=MIDDLE  ALT=\"27-6=21+\"   DISABLED_style= \"max-width:90%; height:auto;\" > like only  grapes\r<BR>\n" );
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document.write( "to find out how many  of the people liked neither of these two types of fruit, deduct <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B46%2B21=73 ALIGN=MIDDLE  ALT=\"6%2B46%2B21=73\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120 ALIGN=MIDDLE  ALT=\"120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120-73=47 ALIGN=MIDDLE  ALT=\"120-73=47\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47 ALIGN=MIDDLE  ALT=\"47\"   DISABLED_style= \"max-width:90%; height:auto;\" > people liked neither of these two types of fruit\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+400%2C+400%2C+-5%2C+10%2C+-5%2C+10%2C%0D%0Acircle%283%2C3%2C2%29%2Ccircle%285%2C5%2C2%29%2C%0D%0Agreen%28line%281%2C1%2C1%2C8%29%29%2Cgreen%28line%281%2C1%2C8%2C1%29%29%2Cgreen%28line%281%2C8%2C8%2C8%29%29%2Cgreen%28line%288%2C8%2C8%2C1%29%29%2Clocate%282%2C5.5%2CA%29%2Clocate%286%2C3%2Cneither%29%2Clocate%286%2C7.5%2CG%29%2C%0D%0A%0D%0Alocate%282%2C3%2C46%29%2Clocate%285%2C5%2C21%29%2Clocate%284%2C4%2C6%29%2Clocate%286%2C2%2C47%29%2C%0D%0A%0D%0Agraph%28+400%2C+400%2C+-5%2C+10%2C+-5%2C+10%2C0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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