document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936063>Question 936063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man bought a number of horses for $900. After training them, he sold all but one to a dude ranch owner at a profit of $110 each, thereby realizing a profit of 100% on the whole transaction. How many horses did he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569510 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of horses purchased<BR>\n" );
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document.write( "y = cost per horse:<BR>\n" );
document.write( "y = 900/x<BR>\n" );
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document.write( "z = sale price per horse:<BR>\n" );
document.write( "z = 110 + y<BR>\n" );
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document.write( "w = total revenue from sale:<BR>\n" );
document.write( "w = (x - 1)z<BR>\n" );
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document.write( "(w - 900)/900 * 100 = 100<BR>\n" );
document.write( "(w - 900)/900 = 100/100<BR>\n" );
document.write( "w - 900 = 900<BR>\n" );
document.write( "w = 1800<BR>\n" );
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document.write( "w = 1800<BR>\n" );
document.write( "(x - 1)z = 1800<BR>\n" );
document.write( "(x - 1)(110 + y) = 1800<BR>\n" );
document.write( "110x + xy - 110 - y = 1800<BR>\n" );
document.write( "110x + x900/x - 110 - 900/x = 1800<BR>\n" );
document.write( "110x + 900 - 110 - 900/x = 1800<BR>\n" );
document.write( "110x + 900 - 110 - 1800 = 900/x<BR>\n" );
document.write( "110x - 1010 = 900/x<BR>\n" );
document.write( "110xx - 1010x - 900 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=110, b=-1010 and c=-900<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "110 -1010 -900<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "x = 10<BR>\n" );
document.write( "x = -0.818181818<BR>\n" );
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document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "x = number of horses purchased = 10<BR>\n" );
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document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );