document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662541>Question 662541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me find the correct set up for this word problem involving systems of linear equations and inequalities in this word problem.\r<BR>\n" );
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document.write( "An apartment building has studio, one-bedroom, and two bedroom apartments. The building has a total of 60 apartments. There are half as many studio apartments as one- bedroom apartments in the building. The rent for a studio is $650, for a one bedroom is $875, and for a two bedroom is $1250. If all the apartments are occupied, the owner of the building collects $53,400 in rent per month. How many of each type of apartment are in the building? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412342 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=412342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An apartment building has studio, one-bedroom, and two bedroom apartments. The building has a total of 60 apartments. There are half as many studio apartments as one- bedroom apartments in the building. The rent for a studio is $650, for a one bedroom is $875, and for a two bedroom is $1250. If all the apartments are occupied, the owner of the building collects $53,400 in rent per month. How many of each type of apartment are in the building?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "s   + o + t = 60 <BR>\n" );
document.write( "-2s + o + 0 = 0<BR>\n" );
document.write( "650s + 875o + 1250t = 53400<BR>\n" );
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document.write( "I used a matrix function on my TI-84 to get the following:<BR>\n" );
document.write( "s = 16 (# of studio apartments) <BR>\n" );
document.write( "o = 32 (# of one-bedroom aparts)<BR>\n" );
document.write( "t = 12 (# of two-bedroom aparts)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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