document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162630>Question 1162630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following is a real estate commission on the selling price of a house.<BR>\n" );
document.write( "10% for the first $100,000, and 6% for the amount which exceeds $100,000<BR>\n" );
document.write( "A realtor receives $21,880.00 for selling a house. What was the selling price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786636 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=786636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the price of the house.<BR>\n" );
document.write( "your equation is:<BR>\n" );
document.write( ".10 * 100,000 + .06 * (x - 100,000) = 21,880<BR>\n" );
document.write( " simplify this to get:<BR>\n" );
document.write( "10,000 + .06 * x - 6,000 = 21,880<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "4,000 + .06 * x = 21,880<BR>\n" );
document.write( "subtract 4,000 from both sides to get:<BR>\n" );
document.write( ".06 * x = 17,880<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 17,880 / .06 = 298,000\r<BR>\n" );
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document.write( "298,000 is the selling price of the house and that's your solution.\r<BR>\n" );
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document.write( "to confirm, do the following:<BR>\n" );
document.write( "the selling price of the house is 298,000<BR>\n" );
document.write( "the first 100,000 gets you a commission of .10 * 100,000 = 10,000.<BR>\n" );
document.write( "the remainder gets you a commission of .06 * 198,000 = 11,880.<BR>\n" );
document.write( "your total commission is 21,880.<BR>\n" );
document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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