document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271380>Question 271380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The plans for an arpartment complex for 438 apartments with each apartment having one, two, or three bedrooms. There were to be 48 more three-bedroom than one-bedroom apartments and the nimber of two bedroom apartments was to be 24 less than 4 times the number of one bedroom apartments . How many apartments of each type were in the plans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198716 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set up:<BR>\n" );
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document.write( "Let A = # of 1 bedroom apartments<BR>\n" );
document.write( "Let B = # of 2 bedroom apartments<BR>\n" );
document.write( "Let C = # of 3 bedroom apartments\r<BR>\n" );
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document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+438 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+48+=+C ALIGN=MIDDLE  ALT=\"A+%2B+48+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A+-+24+=+B ALIGN=MIDDLE  ALT=\"4A+-+24+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Notice that all the variables are in terms of A.<BR>\n" );
document.write( "We can substitute the values in terms of A into equation 1<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+438 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+%284A+-+24%29+%2B+%28A+%2B+48%29+=+438 ALIGN=MIDDLE  ALT=\"A+%2B+%284A+-+24%29+%2B+%28A+%2B+48%29+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+4A+-+24+%2B+A+%2B+48+=+438 ALIGN=MIDDLE  ALT=\"A+%2B+4A+-+24+%2B+A+%2B+48+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A+%2B+24+=+438 ALIGN=MIDDLE  ALT=\"6A+%2B+24+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 24 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6A+=+414 ALIGN=MIDDLE  ALT=\"6A+=+414\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+69%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+69%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now plug 69 into equations 2 & 3 for A<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+48+=+C ALIGN=MIDDLE  ALT=\"A+%2B+48+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+%2B+48+=+C ALIGN=MIDDLE  ALT=\"69+%2B+48+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28117+=+C%29 ALIGN=MIDDLE  ALT=\"highlight%28117+=+C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A+-+24+=+B ALIGN=MIDDLE  ALT=\"4A+-+24+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%2869%29+-+24+=+B ALIGN=MIDDLE  ALT=\"4%2A%2869%29+-+24+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28252+=+B%29 ALIGN=MIDDLE  ALT=\"highlight%28252+=+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check you answers:<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Plug your values back into equation 1\r<BR>\n" );
document.write( "\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+438 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+%2B+252+%2B+117+=+438 ALIGN=MIDDLE  ALT=\"69+%2B+252+%2B+117+=+438\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28438+=+438%29 ALIGN=MIDDLE  ALT=\"highlight%28438+=+438%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );