document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220661>Question 220661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively. \r<BR>\n" );
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document.write( "For this part I did, x+y=38 but from here I'm not really sure if I know how to do this.\r<BR>\n" );
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document.write( "The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 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( "Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.\r<BR>\n" );
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document.write( "I started by making this equation: 175,000x + 200,000y = 7,200,000 I think I am on the right track but I am not sure, word problems and Algebra alone confuse me very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165607 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you were on the right track.<BR>\n" );
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document.write( "you let x = number of houses with floor plan 1<BR>\n" );
document.write( "you let y = number of houses with floor plan 2<BR>\n" );
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document.write( "you had x + y = 38<BR>\n" );
document.write( "you had 175000*x + 200000*y = 7200000<BR>\n" );
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document.write( "you need to solve both these equations simultaneously.<BR>\n" );
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document.write( "you can do it by substitution.<BR>\n" );
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document.write( "take the first equation and solve for x or y.<BR>\n" );
document.write( "either one will do.<BR>\n" );
document.write( "I used x = 38-y<BR>\n" );
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document.write( "substitute for x in the second equation to get:<BR>\n" );
document.write( "175000 * (38-y) + 200000 * y = 7200000<BR>\n" );
document.write( "this expands to be:<BR>\n" );
document.write( "175000 * 38 - 175000 * y + 200000 * y = 7200000<BR>\n" );
document.write( "this simplifies to:<BR>\n" );
document.write( "6650000 + 25000y = 7200000<BR>\n" );
document.write( "subtract 6650000 from both sides of this equation to get:<BR>\n" );
document.write( "25000y = 550000<BR>\n" );
document.write( "divide both sides by 25000 to get:<BR>\n" );
document.write( "y = 22<BR>\n" );
document.write( "that makes x = 16 because 22 + 16 = 38<BR>\n" );
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