document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192679>Question 1192679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local television stations sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 250 responses with the following results.<BR>\n" );
document.write( "75 were interested in an interview show and a documentary, but not reruns<BR>\n" );
document.write( "10 were interested in an interview show and reruns, but not a documentary<BR>\n" );
document.write( "35 were interested in reruns but not documentaries or interviews<BR>\n" );
document.write( "60 were interested in an interview show but not a documentary<BR>\n" );
document.write( "25 were interested in a documentary and reruns<BR>\n" );
document.write( "15 were interested in an interview show and reruns<BR>\n" );
document.write( "20 were interested in none of the three.<BR>\n" );
document.write( "How many are interested in exactly one kind of show? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824575 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Label the given pieces of information:<br><BR>\n" );
document.write( "A. 75 were interested in an interview show and a documentary, but not reruns<BR>\n" );
document.write( "B. 10 were interested in an interview show and reruns, but not a documentary<BR>\n" );
document.write( "C. 35 were interested in reruns but not documentaries or interviews<BR>\n" );
document.write( "D. 60 were interested in an interview show but not a documentary<BR>\n" );
document.write( "E. 25 were interested in a documentary and reruns<BR>\n" );
document.write( "F. 15 were interested in an interview show and reruns<BR>\n" );
document.write( "G. 20 were interested in none of the three.<br><BR>\n" );
document.write( "Draw a Venn diagram; items A, B, C, and G can be labeled directly.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C0%2C20%2C0%2C24%2Ccircle%286%2C9%2C6%29%2Ccircle%2814%2C9%2C6%29%2Ccircle%2810%2C15%2C6%29%0D%0A%2Clocate%286%2C1%2Cinterview%29%2Clocate%2814%2C1%2Crerun%29%2Clocate%2810%2C24%2Cdocumentary%29%0D%0A%2Clocate%286%2C13%2C%2275+%28A%29%22%29%2Clocate%289.5%2C7%2C%2210+%28B%29%22%29%2Clocate%2814%2C7%2C%2235+%28C%29%22%29%0D%0A%2Clocate%282%2C20%2C%2220+%28G%29%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "B and F together tell us that 5 were interested in all three; B and D tell us that 50 were interested in only interview shows.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C0%2C20%2C0%2C24%2Ccircle%286%2C9%2C6%29%2Ccircle%2814%2C9%2C6%29%2Ccircle%2810%2C15%2C6%29%0D%0A%2Clocate%286%2C1%2Cinterview%29%2Clocate%2814%2C1%2Crerun%29%2Clocate%2810%2C24%2Cdocumentary%29%0D%0A%2Clocate%286%2C13%2C%2275+%28A%29%22%29%2Clocate%289.5%2C7%2C%2210+%28B%29%22%29%2Clocate%2814%2C7%2C%2235+%28C%29%22%29%0D%0A%2Clocate%282%2C20%2C%2220+%28G%29%22%29%0D%0A%2Clocate%289%2C12%2C%225+%28B%2CF%29%22%29%2Clocate%284%2C7%2C%2250+%28B%2CD%29%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then B and F, plus E, tell us that 20 were interested in documentaries and reruns but not interview shows...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C0%2C20%2C0%2C24%2Ccircle%286%2C9%2C6%29%2Ccircle%2814%2C9%2C6%29%2Ccircle%2810%2C15%2C6%29%0D%0A%2Clocate%286%2C1%2Cinterview%29%2Clocate%2814%2C1%2Crerun%29%2Clocate%2810%2C24%2Cdocumentary%29%0D%0A%2Clocate%286%2C13%2C%2275+%28A%29%22%29%2Clocate%289.5%2C7%2C%2210+%28B%29%22%29%2Clocate%2814%2C7%2C%2235+%28C%29%22%29%0D%0A%2Clocate%282%2C20%2C%2220+%28G%29%22%29%0D%0A%2Clocate%289%2C12%2C%225+%28B%2CF%29%22%29%2Clocate%284%2C7%2C%2250+%28B%2CD%29%22%29%2Clocate%2812%2C14%2C%2220+%28B%2CF%2CE%29%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "... and lastly the total of 250 respondents, along with the other numbers we have determined, tell us that 35 like documentaries only.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C0%2C20%2C0%2C24%2Ccircle%286%2C9%2C6%29%2Ccircle%2814%2C9%2C6%29%2Ccircle%2810%2C15%2C6%29%0D%0A%2Clocate%286%2C1%2Cinterview%29%2Clocate%2814%2C1%2Crerun%29%2Clocate%2810%2C24%2Cdocumentary%29%0D%0A%2Clocate%286%2C13%2C%2275+%28A%29%22%29%2Clocate%289.5%2C7%2C%2210+%28B%29%22%29%2Clocate%2814%2C7%2C%2235+%28C%29%22%29%0D%0A%2Clocate%282%2C20%2C%2220+%28G%29%22%29%0D%0A%2Clocate%289%2C12%2C%225+%28B%2CF%29%22%29%2Clocate%284%2C7%2C%2250+%28B%2CD%29%22%29%2Clocate%2812%2C14%2C%2220+%28B%2CF%2CE%29%22%29%0D%0A%2Clocate%2810%2C20%2C35%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And from the final diagram, we have....<br><BR>\n" );
document.write( "ANSWER: The number of respondents interested in only one kind of show was 35+35+50=120<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );