document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309010>Question 309010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the answer to this problem?\r<BR>\n" );
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document.write( "Recovering an investment. The manager at Cream of<BR>\n" );
document.write( "the Crop bought a load of watermelons for $200. She<BR>\n" );
document.write( "priced the melons so that she would make $1.50 profit on<BR>\n" );
document.write( "each melon. When all but 30 had been sold, the manager<BR>\n" );
document.write( "had recovered her initial investment. How many did she<BR>\n" );
document.write( "buy originally?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221155 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of watermelons\r<BR>\n" );
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document.write( "\" She priced the melons so that she would make $1.50 profit on each melon\" ___ p = (200/x) + 1.50\r<BR>\n" );
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document.write( "\"When all but 30 had been sold, the manager had recovered her initial investment\" ___ (x-30)(p) = 200\r<BR>\n" );
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document.write( "200x - 6000 + 1.5x^2 - 45x = 200x ___  x^2 - 30x - 4000 = 0\r<BR>\n" );
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document.write( "factoring ___ (x - 80)(x + 50) = 0\r<BR>\n" );
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document.write( "x = 80 </SPAN>\n" );
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