document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64046>Question 64046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Make a Venn Diagram from the following information to answer questions 17 through 20:\r<BR>\n" );
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document.write( "25 students played soccer\r<BR>\n" );
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document.write( "4 boys played soccer and baseball\r<BR>\n" );
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document.write( "3 girls played soccer and baseball\r<BR>\n" );
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document.write( "10 boys played baseball\r<BR>\n" );
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document.write( "4 girls played baseball\r<BR>\n" );
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document.write( "9 students played tennis\r<BR>\n" );
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document.write( "3 boys played soccer and tennis\r<BR>\n" );
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document.write( "3 girls played soccer and tennis\r<BR>\n" );
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document.write( "3 boys played baseball and tennis\r<BR>\n" );
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document.write( "1 girl played baseball and tennis\r<BR>\n" );
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document.write( "1 boy played all three sports\r<BR>\n" );
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document.write( "1 girl played all three sports\r<BR>\n" );
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document.write( "12 girls played at least one of the three sports\r<BR>\n" );
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document.write( "19. How many students played just one of the three sports?\r<BR>\n" );
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document.write( "a)1<BR>\n" );
document.write( "b)20<BR>\n" );
document.write( "c)13<BR>\n" );
document.write( "d)7<BR>\n" );
document.write( "e)15<BR>\n" );
document.write( "f) 5\r<BR>\n" );
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document.write( "20. How many girls played only baseball?\r<BR>\n" );
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document.write( "a)7<BR>\n" );
document.write( "b)2<BR>\n" );
document.write( "c)3<BR>\n" );
document.write( "d)4<BR>\n" );
document.write( "e)10<BR>\n" );
document.write( "f )1\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44743 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ignore student gender and tally all information as students<BR>\n" );
document.write( "S = Soccer B = baseball T = Tennis<BR>\n" );
document.write( "S = 25<BR>\n" );
document.write( "S + B = 7<BR>\n" );
document.write( "B = 14<BR>\n" );
document.write( "T = 9<BR>\n" );
document.write( "S + T = 6<BR>\n" );
document.write( "B + T = 4<BR>\n" );
document.write( "S + B + T = 2<BR>\n" );
document.write( "Draw up the 3 circle Venn Diagram. Put 2 (S + B + T) in the central section.<BR>\n" );
document.write( "The two sections between B and T total 4. One already has a 2 so the other section must be 2 as well.<BR>\n" );
document.write( "The two sections between S and B total 7. One already has a 2 so the other must be 5.<BR>\n" );
document.write( "The two sections between S and T total 6. One already has a 2 so the other must be 4.<BR>\n" );
document.write( "The soccer total is 25 and the three numbers already in the soccer sections are 4, 2 and 5. So the last section in soccer is 14.<BR>\n" );
document.write( "Similarly you should be able to work out the last section of baseball is 5 and the last section of tennis is 1.<BR>\n" );
document.write( "Students playing only one sport = 14 + 5 + 1 = 20.<BR>\n" );
document.write( "Students playing soccer but not tennis or baseball = 14.<BR>\n" );
document.write( "Students playing soccer and baseball but not tennis = 5\r<BR>\n" );
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document.write( "Redraw the Venn Diagram using girl only data.<BR>\n" );
document.write( "s + B = 3<BR>\n" );
document.write( "B = 4<BR>\n" );
document.write( "S + T = 3<BR>\n" );
document.write( "B + T = 1<BR>\n" );
document.write( "S + B + T = 1<BR>\n" );
document.write( "The central section is 1.<BR>\n" );
document.write( "The two sections between B and T total 1. One already has a 1 so the other section must be 0.<BR>\n" );
document.write( "The two sections between S and B total 3. One already has a 1 so the other must be 2.<BR>\n" );
document.write( "The two sections between S and T total 3. One already has a 1 so the other must be 2.<BR>\n" );
document.write( "B = 4 and the three baseball sections filled in total 3 so the last baseball section must be 1.<BR>\n" );
document.write( "Therefore 1 girl played baseball only.\r<BR>\n" );
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