document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197947>Question 197947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am really confused about this, please help me so that I can understand. Thank you\r<BR>\n" );
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document.write( " In a survey of 100 consumers, 33 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 34 said they were going to buy a new washer. Of these, 7 were going to buy both a car and a refrigerator, 15 were going to buy a car and a washer, and 9 were going to buy a washer and a refrigerator. Three consumers indicated that they were going to buy all three items. \r<BR>\n" );
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document.write( "Construct a Venn diagram, label your diagram clearly.  <BR>\n" );
document.write( "Use your diagram to answer the following questions:\r<BR>\n" );
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document.write( "(a)	How many were going to buy only a car? <BR>\n" );
document.write( "(b)	How many were going to buy only a washer? <BR>\n" );
document.write( "(c)	How many were going to buy only a refrigerator<BR>\n" );
document.write( "(d)	How many were going to buy a car and a washer but not a refrigerator? <BR>\n" );
document.write( "(e)	How many were going to buy none of these items?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148456 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Draw three circles that overlap such that there is an area in the center that is part of all three circles.  Label the circles C, R, and W.\r<BR>\n" );
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document.write( "There are 3 people who will purchase all three items, so put a 3 in the center area that is part of all three circles.\r<BR>\n" );
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document.write( "There are 7 people who are going to buy both a car and a refrigerator, but that includes the 3 people who are buying all three, so that leaves 4 that are ONLY buying a car and a refrigerator.  Put a 4 in the area where just the C circle and the R circle overlap.\r<BR>\n" );
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document.write( "Using the same sort of logic, the area of overlap between the W and R circles gets a 6, and the overlap between the C and W circles gets a 12.\r<BR>\n" );
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document.write( "Now, 12 plus 3 plus 4 = 19 is the number of people who are going to buy a car and something else, so 33 minus 19 = 14 is the number that is only going to buy a car.  So 14 goes in the part of the C circle that has no overlap.\r<BR>\n" );
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document.write( "Likewise, you get a 5 in the no-overlap part of the R circle, and a 13 in the no-overlap part of the W circle.\r<BR>\n" );
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document.write( "Now, using your diagram, you can start to answer the questions.\r<BR>\n" );
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document.write( "Only a car: the number in the non-overlap part of the C circle<BR>\n" );
document.write( "Only a washer and only a refrigerator -- you should be able to do these yourself.<BR>\n" );
document.write( "A car and a washer but not a refrigerator.  The part of the diagram where circles C and W overlap but not including the center part that is also included in circle R.<BR>\n" );
document.write( "None of these items.  Add up all the numbers in your diagram, you should get 57.  But the survey was taken from 100 people, so 100 - 57 = ?\r<BR>\n" );
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document.write( "Here's a picture of the diagram before you start filling in the information.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0Acircle%282%2C+2%2C+3%29%2C%0D%0Acircle%280%2C+-2%2C+3%29%2C%0D%0Acircle%28-2%2C2%2C3%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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