document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153206>Question 1153206</A>: <I><SPAN STYLE=\"word-break: break-all;\">  At a small midwestern college, a survey determined that 61% of freshmen participated in intercollegiate athletics. Further 48% participated in a campus social club. However, 18% did not participate in either type of activity. What percentage participated in either sports or a social club?  From the same survey, what percentage of freshman participated in both sports and a social club? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775395 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=775395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "In my previous post,\r\n" );
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document.write( "    https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1153204.html\r\n" );
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document.write( "I just answered the first question, saying that the answer is the complement of 18% to 100%, i.e.  100% - 18% = 82%.\r\n" );
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document.write( "So, the union of the two sets, athletics and social, is 82% of the entire population.\r\n" );
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document.write( "Each of the components, athletic and social, is 61% and 48%, respectively.\r\n" );
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document.write( "Hence, their intersection is  61% + 48% - 82% = 27%.    <U>ANSWER</U>.\r\n" );
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document.write( "The major fact you need to know to solve such problems is that\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;n(A U B) = n(A) + n(B) - n(A &#8745; B)\r<BR>\n" );
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document.write( "for subsets A, B, (A U B) and (A &#8745; B) of a universal set,\r<BR>\n" );
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document.write( "where n(X) is the number of elements of subset X.\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/misc/Counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Counting elements in sub-sets of a given finite set</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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