document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504623>Question 504623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I know how to solve systems of equations, but I'm having trouble setting this one up. It is a word problem.\r<BR>\n" );
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document.write( "AMC Homes, Inc is planning to build three and four bedroom homes. Consumer demand indicates a need for three times as many four-bedroom homes as for three-bedroom homes. The net profit from each three-bedroom is $16,000 and $17,000 for each four bedroom. If the total net profit is $13.4 million how many homes of each type should they build?\r<BR>\n" );
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document.write( "Thanks for any help you might have :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339665 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=339665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AMC Homes, Inc is planning to build three and four bedroom homes. <BR>\n" );
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document.write( "Consumer demand indicates a need for three times as many four-bedroom homes as for three-bedroom homes.<BR>\n" );
document.write( "Let \"f\" be # of four-bedroom homes<BR>\n" );
document.write( "Let \"t\" be # of three-bedroom homes.<BR>\n" );
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document.write( "f = 3t<BR>\n" );
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document.write( "The net profit from each three-bedroom is $16,000 and $17,000 for each four bedroom. If the total net profit is $13.4 million<BR>\n" );
document.write( "16000t + 17000f = 13,400,000<BR>\n" );
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document.write( "Substitute for \"f\" and solve for \"t\":<BR>\n" );
document.write( "16000t + 17000(3t) = 13,400,000<BR>\n" );
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document.write( "Divide thru by 1000 to get:<BR>\n" );
document.write( "16t + 17(35) = 13.499<BR>\n" );
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document.write( "16t + 51t = 13,400<BR>\n" );
document.write( "67t = 13,400<BR>\n" );
document.write( "t = 200 (# of three-bedroom houses to build)<BR>\n" );
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document.write( "Solve for \"f\":<BR>\n" );
document.write( "f = 35<BR>\n" );
document.write( "f = 3*200 = 600 (# of four-bedroom houses to build)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " how many homes of each type should they build? <BR>\n" );
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