document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177476>Question 1177476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 150 people at an International<BR>\n" );
document.write( "Medical Conference. 40 are Africans, 70<BR>\n" );
document.write( "are women and 110 are doctors. 12 of the<BR>\n" );
document.write( "women are Africans, 46 of the doctors are<BR>\n" );
document.write( "women and 31 of the Africans are doctors.<BR>\n" );
document.write( "If 5 of the African men are not doctors:<BR>\n" );
document.write( "a how many of the African women are<BR>\n" );
document.write( "doctors<BR>\n" );
document.write( "b how many of the men are neither African<BR>\n" );
document.write( "nor doctors? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851932 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "There are 150 people at an International Medical Conference. <BR>\n" );
document.write( "40 are Africans, 70 are women and 110 are doctors. <BR>\n" );
document.write( "12 of the women are Africans, 46 of the doctors are women and 31 of the Africans are doctors.<BR>\n" );
document.write( "If 5 of the African men are not doctors:<BR>\n" );
document.write( "(a) how many of the African women are doctors ?<BR>\n" );
document.write( "(b) how many of the men are neither African nor doctors?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the post by &nbsp;@CPhill, &nbsp;his solution to part &nbsp;(a) &nbsp;is &nbsp;OUT &nbsp;of &nbsp;LOGIC, &nbsp;so it is &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below is my solution for part &nbsp;(a).\r<BR>\n" );
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document.write( "(a)  &nbsp;&nbsp;How many of the &nbsp;African women are doctors ?\r<BR>\n" );
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document.write( "              The solution is in 3 logical steps.\r\n" );
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document.write( "     (1)  We are given that there are 40 Africans, and 12 of women are Africans. \r\n" );
document.write( "          Hence, the number of African men is 40-12 = 28.\r\n" );
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document.write( "     (2)  Next, we are given that 5 of African men are not doctors.\r\n" );
document.write( "          Hence, 28-5 = 23 is the number of African men who are doctors.\r\n" );
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document.write( "     (3)  Next, we are given that 31 of Africans are doctors.\r\n" );
document.write( "          Hence, the number of African women who are doctors is 31-23 = 8.\r\n" );
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document.write( "<U>ANSWER</U>.  The number of African women who are doctors is 8.\r\n" );
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document.write( "Part &nbsp;(a) &nbsp;is solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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