document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934984>Question 934984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juma bought a certain number of orange for 36 dollars. If each orange had cost 0.50 dollar less, he could have bought six more oranges for the same amount of money. How many oranges 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 #568090 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=568090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of oranges bought at original price<BR>\n" );
document.write( "y = original dollar price per orange<BR>\n" );
document.write( "---<BR>\n" );
document.write( "xy = 36<BR>\n" );
document.write( "y = 36/x<BR>\n" );
document.write( "(x + 6)(y - 0.50) = 36<BR>\n" );
document.write( "---<BR>\n" );
document.write( "xy - 0.50x + 6y - 3 = 36<BR>\n" );
document.write( "xy - 0.50x + 6y = 39<BR>\n" );
document.write( "x36/x - 0.50x + 6*36/x = 39<BR>\n" );
document.write( "36 - 0.50x + 216/x = 39<BR>\n" );
document.write( "216/x - 0.50x = 39 - 36<BR>\n" );
document.write( "216/x - 0.50xx/x = 3<BR>\n" );
document.write( "216 - 0.50xx = 3x<BR>\n" );
document.write( "0.50xx + 3x - 216 = 0<BR>\n" );
document.write( "xx + 6x - 432 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=6 and c=-432<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "1 6 -432<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 18<BR>\n" );
document.write( "x = -24<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = number of oranges bought at original price = 18<BR>\n" );
document.write( "y = 36/x<BR>\n" );
document.write( "y = 36/18<BR>\n" );
document.write( "y = original dollar price per orange = 2<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );