document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347089>Question 347089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simon Rose surveyed feature films released from 1983 through 1993, listing the most common names of movie characters.  The list is shown here, but the number of characters with the names Jack and John is omitted.  Combined, there were 230 movie characters with these names.  Taking triple the number of Jack characters and subtracting double the number of John characters gives 16 less than triple the number of George characters.  How many movie characters had the names Jack and John from 1983 through 1993?<BR>\n" );
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document.write( "Name                Characters<BR>\n" );
document.write( "Jack                     ?<BR>\n" );
document.write( "John                     ?<BR>\n" );
document.write( "Frank                    87<BR>\n" );
document.write( "Harry                    72<BR>\n" );
document.write( "David                    63<BR>\n" );
document.write( "George                 62<BR>\n" );
document.write( "Michael                59<BR>\n" );
document.write( "Tom                     59<BR>\n" );
document.write( "Mary                    54<BR>\n" );
document.write( "Paul                     53<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248289 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=248289\">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( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of Jack characters.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> represent the number of John characters.  16 less than 3 times the number of George characters is:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3\,\cdot\,62\ -\ 16\ =\ 170\">\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 230\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x\ -\ 2y\ =\ 170\">\r<BR>\n" );
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document.write( "Solve the system for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x,\,y\right)\">\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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