document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434075>Question 434075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve an Equation: I am having alot of trouble setting up this equation to solve. <BR>\n" );
document.write( "The owners of a theater plan to reconfigure the seating. Adding 4 rows, they can reduce the number of seats per row by 2 without changing capacity. If, instead, they add 5 seats per row, they can reduce the number of rows by 7,  thus decreasing capacity by 1 seat. What is the theater's current capacity? (Assume that each row has the same number of seats. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300817 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The seating capacity can be expressed as<BR>\n" );
document.write( "(number of rows)*(seats/row)<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of rows<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of seats per row<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+%2B+4+%29%2A%28+s+-+2%29+=+r%2As+ ALIGN=MIDDLE  ALT=\"+%28+r+%2B+4+%29%2A%28+s+-+2%29+=+r%2As+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+7%29%2A%28+s+%2B+5+%29+=+r%2As+-+1+ ALIGN=MIDDLE  ALT=\"+%28+r+-+7%29%2A%28+s+%2B+5+%29+=+r%2As+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2As+%2B+4s+-+2r+-+8+=+r%2As+ ALIGN=MIDDLE  ALT=\"+r%2As+%2B+4s+-+2r+-+8+=+r%2As+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+-+2r+=+8+ ALIGN=MIDDLE  ALT=\"+4s+-+2r+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2As+-+7s+%2B+5r+-+35+=+r%2As+-+1+ ALIGN=MIDDLE  ALT=\"+r%2As+-+7s+%2B+5r+-+35+=+r%2As+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7s+%2B+5r+=+34+ ALIGN=MIDDLE  ALT=\"+-7s+%2B+5r+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then add the equations<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20s+-+10r+=+40+ ALIGN=MIDDLE  ALT=\"+20s+-+10r+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-14s+%2B+10r+=+68+ ALIGN=MIDDLE  ALT=\"+-14s+%2B+10r+=+68+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6s+=+108+ ALIGN=MIDDLE  ALT=\"+6s+=+108+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+18+ ALIGN=MIDDLE  ALT=\"+s+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+-+2r+=+8+ ALIGN=MIDDLE  ALT=\"+4s+-+2r+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2A18+-+2r+=+8+ ALIGN=MIDDLE  ALT=\"+4%2A18+-+2r+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+72+-+2r+=+8+ ALIGN=MIDDLE  ALT=\"+72+-+2r+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+=+72+-+8+ ALIGN=MIDDLE  ALT=\"+2r+=+72+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+=+64+ ALIGN=MIDDLE  ALT=\"+2r+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+32+ ALIGN=MIDDLE  ALT=\"+r+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Current capacity = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18%2A32+=+576+ ALIGN=MIDDLE  ALT=\"+18%2A32+=+576+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r+-+7%29%2A%28+s+%2B+5+%29+=+r%2As+-+1+ ALIGN=MIDDLE  ALT=\"+%28+r+-+7%29%2A%28+s+%2B+5+%29+=+r%2As+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+32+-+7%29%2A%28+18+%2B+5+%29+=+576+-+1+ ALIGN=MIDDLE  ALT=\"+%28+32+-+7%29%2A%28+18+%2B+5+%29+=+576+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25%2A23+=+575+ ALIGN=MIDDLE  ALT=\"+25%2A23+=+575+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575+=+575+ ALIGN=MIDDLE  ALT=\"+575+=+575+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );