document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257923>Question 257923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Everyone in a class of 30 students takes math and history. Seven students received an A in history, 13 received an A in math, and 4 received an A in both courses. How many students did not receive an A in either course? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189788 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 30 students total.<BR>\n" );
document.write( "7 received an a in history.<BR>\n" );
document.write( "13 received an a in math.<BR>\n" );
document.write( "4 received an a in both courses.<BR>\n" );
document.write( "how many students did not receive an a in either course.\r<BR>\n" );
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document.write( "20 total received an a in history or math.\r<BR>\n" );
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document.write( "of these, 4 received an a in history and math.\r<BR>\n" );
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document.write( "those 4 are being counted twice.\r<BR>\n" );
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document.write( "once in history and once in math.\r<BR>\n" );
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document.write( "you need to subtract 4 from the number who got an a in history or an a in math to get a total of 16 students who got an a in history or in math.\r<BR>\n" );
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document.write( "this leaves 30 - 16 = 14 students who did not get an a in either course.\r<BR>\n" );
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document.write( "here's the breakdown.\r<BR>\n" );
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document.write( "14 students did not get an a in either course.<BR>\n" );
document.write( "3 students got an a in history only.<BR>\n" );
document.write( "9 students got an a in math only.<BR>\n" );
document.write( "4 students got an a in both history and math.\r<BR>\n" );
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document.write( "total is 30 students.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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