document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308987>Question 308987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant paid $1,800 for a group of men's hat. He sold all but 5 of the hats at $20 more per hat than he paid, thereby making a profit of $200 on the transaction. How many hats did the merchant buy?\r<BR>\n" );
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document.write( "choices:<BR>\n" );
document.write( "A:)20<BR>\n" );
document.write( "B:)25<BR>\n" );
document.write( "C:)30<BR>\n" );
document.write( "D:)35 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220929 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let h=number of hats he bought.<BR>\n" );
document.write( "1800/h cost of each hat<BR>\n" );
document.write( "(1800/h)+20 sale price of each hat<BR>\n" );
document.write( "h-5 number of hats he sells<BR>\n" );
document.write( "2000 income from the sale of the hats<BR>\n" );
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document.write( "((1800/h)+20)(h-5)=2000<BR>\n" );
document.write( "(1800+20h)(h-5)=2000h multiply each side by h to eliminate fraction.<BR>\n" );
document.write( "20h^2+1700h-9000=2000h<BR>\n" );
document.write( "h^2+85h-450=100<BR>\n" );
document.write( "h^2-15h-450=0<BR>\n" );
document.write( "(h-30)(h+15)=0<BR>\n" );
document.write( "h=30 number of hats he bought.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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