document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004067>Question 1004067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A room contains 114 chairs. The number of chairs per row is two less than twice the number of rows. Find the number of rows and the number of chairs per row. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620633 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the number of rows, r.<BR>\n" );
document.write( "Call the number of chairs per row, c.<BR>\n" );
document.write( "From the facts in the problem, we have<BR>\n" );
document.write( "c = 2r - 2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "rc = 114<BR>\n" );
document.write( "Substituting we get<BR>\n" );
document.write( "r(2r - 2) = 114<BR>\n" );
document.write( "2r^2 - 2r - 114 = 0<BR>\n" );
document.write( "r^2 - r - 57 = 0<BR>\n" );
document.write( "This does not work out evenly.  I'm thinking there is a fact missing about whether the rows are even or not...\r<BR>\n" );
document.write( "\n" );
document.write( "If there were 112 chairs it would work out... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );