document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035361>Question 1035361</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A shepherd had an unfortunate experience. He was looking after a number (n) of sheep when robbers overpowered him and stole 1/4 of his sheep. He managed to get 3 of the stolen sheep back. The robbers came back and stole 1/3 of the remaining sheep of which he again managed to get 2 back. The third time the robbers overpowered him, they stole 1/2 of the remaining sheep of which he once again managed to get 2 back . He then exactly had n/2 sheep left. Determine the value of n, showing all explanations.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650030 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A shepherd had an unfortunate experience. He was looking after a number (n) of sheep when robbers overpowered him and stole 1/4 of his sheep. He managed to get 3 of the stolen she[ him, they stole 1/2 of the remaining sheep of which he once again managed to get 2 back . He then exactly had n/2 sheep left. Determine the value of n, showing all explanations. <BR>\n" );
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document.write( "Start with n sheep<BR>\n" );
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document.write( "Then<BR>\n" );
document.write( "n - (n/4)+3  = (3/4)n+3<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(1/2)[(3/4)n+3]+2 = (3/8)n+(3/2)+2 = (3/8)n + 7/2<BR>\n" );
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document.write( "Solve::<BR>\n" );
document.write( "Equation (3/8)n+(7/2) = n/2<BR>\n" );
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document.write( "3n + 28 = 4n<BR>\n" );
document.write( "n = 28 sheep (original number)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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