document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116863>Question 1116863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer bought some sheep for $2100. Two sheep died, and he sold the rest for $30 more a head than he paid for them. If he made a profit of $60, how many sheep 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 #731826 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution by tutor ikleyn is fine.<br><BR>\n" );
document.write( "Here is a different path which leads to the same equation to solve and of course the same answer.<br><BR>\n" );
document.write( "Always be open to trying different methods for solving problems to find what methods \"work\" best for you.<br><BR>\n" );
document.write( "If the original number of sheep is n, then the cost for each one was 2100/n.<br><BR>\n" );
document.write( "Two of the sheep died, so the number he sold was (n-2).  <br><BR>\n" );
document.write( "He sold them for $30 more a head than he paid for them; so the selling price was (2100/n+30).<br><BR>\n" );
document.write( "Selling (n-2) sheep for that price made him a profit of $60, so he sold them for a total of $2160.<br><BR>\n" );
document.write( "So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282100%2Fn%2B30%29%28n-2%29+=+2160 ALIGN=MIDDLE  ALT=\"%282100%2Fn%2B30%29%28n-2%29+=+2160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2100-4200%2Fn%2B30n-60+=+2160 ALIGN=MIDDLE  ALT=\"2100-4200%2Fn%2B30n-60+=+2160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30n-4200%2Fn+=+120 ALIGN=MIDDLE  ALT=\"30n-4200%2Fn+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-140%2Fn=4 ALIGN=MIDDLE  ALT=\"n-140%2Fn=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n-4-140%2Fn=0 ALIGN=MIDDLE  ALT=\"n-4-140%2Fn=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-4n-140=0 ALIGN=MIDDLE  ALT=\"n%5E2-4n-140=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-14%29%28n%2B10%29+=+0 ALIGN=MIDDLE  ALT=\"%28n-14%29%28n%2B10%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+14 ALIGN=MIDDLE  ALT=\"n+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of sheep he bought was n=14. </SPAN>\n" );
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