document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043375>Question 1043375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . Heather surveyed 30 members of her outdoor club (OC) and found that 18 Alpine ski tour (A) and<BR>\n" );
document.write( "15 of these members also skate ski (S). Five members did not ski tour nor do they skate ski. Write<BR>\n" );
document.write( "out formulas using set notation and calculate the following:<BR>\n" );
document.write( "a) Number of participants who Alpine tour ski or Skate ski.<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "b) Number of participants who Alpine tour ski and Skate ski.<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "c) Number of participants who only Alpine tour ski.<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "d) Number of participants who only Skate Ski. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658519 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=658519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Heather surveyed 30 members of her outdoor club (OC) and found that 18 Alpine ski tour (A) and 15 of these members also skate ski (S). Five members did not ski tour nor do they skate ski. <BR>\n" );
document.write( "Write out formulas using set notation and calculate the following:<BR>\n" );
document.write( "Draw a rectangle with intersecting A and S circles<BR>\n" );
document.write( "Put 15 in the intersection of A and S<BR>\n" );
document.write( "Put 18-15 = 3 in A but not in the intersection<BR>\n" );
document.write( "Put 5 in the rectangle but not in either A or S<BR>\n" );
document.write( "Put \"x\" in S but not in the intersection <BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "18 + x + 5 = 30<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( " a) Number of participants who Alpine tour ski or Skate ski.<BR>\n" );
document.write( "(A or S) = A + S - (A and S)<BR>\n" );
document.write( "A or S = 18 + 22 -15 = 25<BR>\n" );
document.write( "--------------------------------- <BR>\n" );
document.write( "b) Number of participants who Alpine tour ski and Skate ski.<BR>\n" );
document.write( "A and S = A + S - (A or S)<BR>\n" );
document.write( "A and S = 18 + 22 - 25 = 15<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "c) Number of participants who only Alpine tour ski.<BR>\n" );
document.write( "A- (A and S) = 18-15 = 3<BR>\n" );
document.write( "___________________________________________________________________________<BR>\n" );
document.write( "d) Number of participants who only Skate Ski.<BR>\n" );
document.write( "S - (A and S) = 22-15 = 7<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );