document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205577>Question 205577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like some help with this problem:\r<BR>\n" );
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document.write( "In a new community, the sales representative tells you that there are 38 homes being built, with two floor plans. Floor Plan#1 sells for $175,000 and floor Plan #2 sells for $200,000. She mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates the solution, also use elimination to determine how many houses with each floor plan are available. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155190 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=155190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a new community, the sales representative tells you that there are 38 homes being built, with two floor plans. Floor Plan#1 sells for $175,000 and floor Plan #2 sells for $200,000. She mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates the solution, also use elimination to determine how many houses with each floor plan are available<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq.: x + y = 38<BR>\n" );
document.write( "Value Eq:::175000x+200000y = 7200000<BR>\n" );
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document.write( "Modify the 2nd equation:<BR>\n" );
document.write( "175x + 200y = 7200<BR>\n" );
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document.write( "Multiply thru the 1st equation by 175 to get:<BR>\n" );
document.write( "175x + 175y = 175*38<BR>\n" );
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document.write( "Subtract that from the equation above to get:<BR>\n" );
document.write( "25y = 550<BR>\n" );
document.write( "y = 22 (# of $200,000 homes)<BR>\n" );
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document.write( "Since x + y = 38, x = 16 (# of $175,000 homes)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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