document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293158>Question 293158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it. \r<BR>\n" );
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document.write( "a.	The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.<BR>\n" );
document.write( "X+y=38\r<BR>\n" );
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document.write( "b.	The representative tells you that floor plan one sells for $175,000 and floor plan two sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in Part a.\r<BR>\n" );
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document.write( "c.	Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.<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 #211639 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.<BR>\n" );
document.write( "a. The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.<BR>\n" );
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document.write( "Let x = number of floor plan one<BR>\n" );
document.write( "and y = number of floor plan two<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+y=38<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b. The representative tells you that floor plan one sells for $175,000 and floor plan two sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in Part a.<BR>\n" );
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document.write( "175000x + 200000y = 7200000<BR>\n" );
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document.write( "c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.<BR>\n" );
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document.write( "x+y=38  (equation 1)<BR>\n" );
document.write( "175000x + 200000y = 7200000 (equation 2)<BR>\n" );
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document.write( "Using the elimination method:<BR>\n" );
document.write( "Start by eliminating y -- do this by multiplying equation 1 by -200000:<BR>\n" );
document.write( "-200000x - 200000y = -7600000<BR>\n" );
document.write( " 175000x + 200000y = 7200000<BR>\n" );
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document.write( "ADD the two equations together:<BR>\n" );
document.write( "-200000x - 200000y = -7600000<BR>\n" );
document.write( " 175000x + 200000y = 7200000<BR>\n" );
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document.write( "-25000x            = -400000<BR>\n" );
document.write( "x = -400000/-25000<BR>\n" );
document.write( "x = 16 (number of floor plan one)<BR>\n" );
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document.write( "To find number of floor plan two, use equation 1 and substitute the above into it:<BR>\n" );
document.write( "x+y=38<BR>\n" );
document.write( "16+y=38<BR>\n" );
document.write( "y = 38-16<BR>\n" );
document.write( "y =20 </SPAN>\n" );
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