document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107214>Question 1107214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate a system of equations for the situation below and solve.\r<BR>\n" );
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document.write( "Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 192 units is planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.<BR>\n" );
document.write( "one-bedroom units    	  units<BR>\n" );
document.write( "two-bedroom townhouses    	  units<BR>\n" );
document.write( "three-bedroom townhouses    	  units<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 #722224 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=722224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 192 units is planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq:: O + t + r = 192 units<BR>\n" );
document.write( "Quantity Eq:: t + r = O<BR>\n" );
document.write( "Quantity Eq:: O = 3r<BR>\n" );
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document.write( "Substitute and solve::<BR>\n" );
document.write( "3r +(3r-r) + r = 192<BR>\n" );
document.write( "6r = 192<BR>\n" );
document.write( "r = 32 (# of 3-bedroom units)<BR>\n" );
document.write( "O = 3r = 96 (# of One bedroom units)<BR>\n" );
document.write( "t = 3r-4r = 2r = 64 (# of two bedroom units)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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