document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015424>Question 1015424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Susan Hansen Group in St. George, Utah, sells $16,000,000 of single-family homes and town homes a year. If single-family homes, with an average selling price of $250,000, sell 3.5 times more often than town homes, with an average selling price of $190,000, how many of each are sold? (Round to nearest whole.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631792 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=631792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of single family homes.<BR>\n" );
document.write( "y = number of town homes\r<BR>\n" );
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document.write( "250,000 * x + 190,000 * y = 16,000,000\r<BR>\n" );
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document.write( "this equation says that x number of single family homes, selling at 250,000 each, plus y number of town homes, selling at 190,000 each, total 16,000,000 in sales.\r<BR>\n" );
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document.write( "you are given that single family homes sell 3.5 times as much as town homes.\r<BR>\n" );
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document.write( "since x = number of single family homes sold and y = number of town homes sold, then your equation becomes:\r<BR>\n" );
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document.write( "x = 3.5 * y.\r<BR>\n" );
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document.write( "that equation says that the number of single family homes sold is 3.5 times the number of town homes sold.\r<BR>\n" );
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document.write( "in the equation of 250,000 * x + 199,000 * y = 16,000,000, replace x with 3.5 * y to get:\r<BR>\n" );
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document.write( "250,000 * x + 190,000 * y = 16,000,000 becomes:\r<BR>\n" );
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document.write( "250,000 * 3.5 * y + 190,000 * y = 16,000,000.\r<BR>\n" );
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document.write( "simplify to get 875,000 * y + 190,000 * y = 16,000,000.\r<BR>\n" );
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document.write( "combine like terms to get 1,065,000 * y = 16,000,000.\r<BR>\n" );
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document.write( "divide both sides of this equation to get y = 16,000,000/1,065,000 = 15.02347418.\r<BR>\n" );
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document.write( "since x = 3.5 * y, then y = 52.58215962.\r<BR>\n" );
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document.write( "they sold 15.02347418 town homes and 52.58215962 single family homes.\r<BR>\n" );
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document.write( "15.02347418 * 190,000 + 52.58215962 * 250,000 = 16,000,000.\r<BR>\n" );
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document.write( "round off to the nearest integer and you get:\r<BR>\n" );
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document.write( "15 town homes were sold and 53 single family homes were sold.\r<BR>\n" );
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document.write( "15 * 190,000 + 53 * 250,000 = 16,235,000 total dollars in sales.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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