document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416040>Question 416040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 48 members of the band.  Of these, 10 are left-handed and 19 wear eyeglasses.  There are 27 members who are NOT left-handed and do NOT wear eyeglasses.  How many left-handed members wear eyeglasses? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291570 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 48 members of the band.  Of these, 10 are left-handed and 19 wear eyeglasses.  There are 27 members who are NOT left-handed and do NOT wear eyeglasses.  How many left-handed members wear eyeglasses?<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"consolas\" color = \"indigo\" size = 4><b>\r\n" );
document.write( "Make this chart:\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Dont wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |                      |   \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |                  |                      |   \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |                  |                      |   \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Fill in 48 for the total number of band members in the lower right corner.\r\n" );
document.write( "Fill in 10 for the total number that are left-handed in the bottom cell in\r\n" );
document.write( " the \"wear eyeglasses\" column.\r\n" );
document.write( "Fill in 27 for the number of members who are NOT left-handed (right-handed)\r\n" );
document.write( "and do NOT wear eyeglasses in the cell that is in the Right-handed\r\n" );
document.write( "(NOT left-handed) row and in the \"Don't-wear eyeglasses\" column:  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |                      |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |                  |         27           |   \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |                      |   48\r\n" );
document.write( "\r\n" );
document.write( "Since everybody in the band either wears eyeglasses or don't, then\r\n" );
document.write( "we can fill in the total that don't wear eyeglasses by subtracting\r\n" );
document.write( "the number that do wear them which is 19, from the total number of\r\n" );
document.write( "band members, 48, and get 29, so we fill that in the total that don't\r\n" );
document.write( "wear eyeglasses:\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |                      |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |                  |         27           |   \r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |         29           |   48\r\n" );
document.write( "\r\n" );
document.write( "Since everybody in the band is either left-handed or right-handed, \r\n" );
document.write( "then we can fill in the total that are right-handed by subtracting\r\n" );
document.write( "the number that are left handed, which is 10, from the total number of\r\n" );
document.write( "band members, 48, and get 38, so we fill that in the total that are\r\n" );
document.write( "right handed.\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |                      |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |                  |         27           |   38\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |         29           |   48\r\n" );
document.write( "\r\n" );
document.write( "Since the total number who are right handed is 38, and 27 of these \r\n" );
document.write( "right-handed members don't wear glases, the rest of the 38 right-handed\r\n" );
document.write( "members do wear them, so we can fill in the number of right-handed members\r\n" );
document.write( "who do wear glasses by subtracting 27 from 38, getting 11. So we can fill in\r\n" );
document.write( "11 as the number of right-handed members who wear eyeglasses:\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |                      |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |        11        |         27           |   38\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |         29           |   48\r\n" );
document.write( "\r\n" );
document.write( "Since the total number who don't wear eyeglasses is 29, and 27 of those\r\n" );
document.write( "are right-handed, the rest of the 29 members who don't wear eyeglasses are\r\n" );
document.write( "left-handed, so we can fill in the number of left-handed members who do\r\n" );
document.write( "not wear glasses by subtracting 27 from 29, getting 2. So we can fill in\r\n" );
document.write( "2 as the number of left-handed members who don't wear eyeglasses:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |                  |          2           |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |        11        |         27           |   38\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |         29           |   48\r\n" );
document.write( "\r\n" );
document.write( "There are two ways to determine the number to put in the remaining cell.\r\n" );
document.write( "Since the total number who wear eyeglasses is 19, and 11 of those\r\n" );
document.write( "are right-handed, the rest of the 19 members who wear eyeglasses are\r\n" );
document.write( "left-handed, so we can fill in the number of left-handed members who\r\n" );
document.write( "wear glasses by subtracting 11 from 19, getting 8.  We could\r\n" );
document.write( "also have found this number 8 by subtracting the 2 lefties who don't\r\n" );
document.write( "wear glasses from the 10 total lefties and gotten 8. So we can fill in\r\n" );
document.write( "8 as the number of left-handed members who wear eyeglasses.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                Wear eyeglasses    Don't wear eyeglasses    Totals \r\n" );
document.write( "Left-handed   |         8        |          2           |   10\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Right-handed  |        11        |         27           |   38\r\n" );
document.write( "------------------------------------------------------------------\r\n" );
document.write( "Totals        |        19        |         29           |   48\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the answer is: 8 left-handed members wear eyeglasses.\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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