document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201505>Question 1201505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 10 students on the volleyball team and 15 on the basketball team. When planning a field trip with both teams, the coach has to arrange transportation for a total of only 19 students.  \r<BR>\n" );
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document.write( "a) Use a Venn Diagram to illustrate this situation.<BR>\n" );
document.write( "b) Determine how many students are on both teams.<BR>\n" );
document.write( "c) How many students are only in volleyball team?<BR>\n" );
document.write( "d) How many students  are only in basketball team? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835897 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=835897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Venn Diagram template:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Aline%28-4%2C-3%2C-4%2C3%29%2Cline%28-4%2C3%2C4%2C3%29%2Cline%284%2C3%2C4%2C-3%29%2Cline%284%2C-3%2C-4%2C-3%29%2C%0D%0A%0D%0Acircle%281%2C0%2C2%29%2Ccircle%28-1%2C0%2C2%29%2C%0D%0A%0D%0Alocate%28-3.18%2C2.54%2C%22volleyball%22%29%2Clocate%281.1%2C2.54%2C%22basketball%22%29%2Clocate%28-2.14%2C0.7%2C%22a%22%29%2Clocate%28-0.44%2C0.48%2C%22b%22%29%2Clocate%281.42%2C0.76%2C%22c%22%29%2Clocate%282.56%2C-1.86%2C%22d%22%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "region a = volleyball only<BR>\n" );
document.write( "region b = both sports<BR>\n" );
document.write( "region c = basketball only<BR>\n" );
document.write( "region d = neither sport mentioned\r<BR>\n" );
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document.write( "I'll assume that d = 0, i.e. all of the players mentioned play either sport or both.\r<BR>\n" );
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document.write( "total = (number who play volleyball)+(number who play basketball) - (number who play both)<BR>\n" );
document.write( "19 = (10)+(15) - (number who play both)<BR>\n" );
document.write( "19 = 25 - (number who play both)<BR>\n" );
document.write( "number who play both = 25-19<BR>\n" );
document.write( "number who play both = 6<BR>\n" );
document.write( "This value goes in region b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Aline%28-4%2C-3%2C-4%2C3%29%2Cline%28-4%2C3%2C4%2C3%29%2Cline%284%2C3%2C4%2C-3%29%2Cline%284%2C-3%2C-4%2C-3%29%2C%0D%0A%0D%0Acircle%281%2C0%2C2%29%2Ccircle%28-1%2C0%2C2%29%2C%0D%0A%0D%0Alocate%28-3.18%2C2.54%2C%22volleyball%22%29%2Clocate%281.1%2C2.54%2C%22basketball%22%29%2Clocate%28-2.14%2C0.7%2C%22a%22%29%2Clocate%28-0.44%2C0.48%2C%226%22%29%2Clocate%281.42%2C0.76%2C%22c%22%29%2Clocate%282.56%2C-1.86%2C%220%22%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "volleyball:<BR>\n" );
document.write( "a+b = 10<BR>\n" );
document.write( "a+6 = 10<BR>\n" );
document.write( "a = 10-6<BR>\n" );
document.write( "a = 4 who play volleyball only\r<BR>\n" );
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document.write( "basketball:<BR>\n" );
document.write( "b+c = 15<BR>\n" );
document.write( "6+c = 15<BR>\n" );
document.write( "c = 15-6<BR>\n" );
document.write( "c = 9 who play basketball only\r<BR>\n" );
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document.write( "This is what the completed Venn Diagram looks like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Aline%28-4%2C-3%2C-4%2C3%29%2Cline%28-4%2C3%2C4%2C3%29%2Cline%284%2C3%2C4%2C-3%29%2Cline%284%2C-3%2C-4%2C-3%29%2C%0D%0A%0D%0Acircle%281%2C0%2C2%29%2Ccircle%28-1%2C0%2C2%29%2C%0D%0A%0D%0Alocate%28-3.18%2C2.54%2C%22volleyball%22%29%2Clocate%281.1%2C2.54%2C%22basketball%22%29%2Clocate%28-2.14%2C0.7%2C%224%22%29%2Clocate%28-0.44%2C0.48%2C%226%22%29%2Clocate%281.42%2C0.76%2C%229%22%29%2Clocate%282.56%2C-1.86%2C%220%22%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "</font> </SPAN>\n" );
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