document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317452>Question 317452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a fort is provisioned for 42 days; after 10 days a reinforcement of 200 men arrives and the food will now last only for 24 days . how many men were there in the fort? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227313 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=227313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A  fort is provisioned for 42 days ; after 10 days a reinforcement of 200 men arrives and the food will now last only for 24 days . how many men were there in the fort?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let original number of men in the fort = \"x\".<BR>\n" );
document.write( "(food in fort)/x = 42 days<BR>\n" );
document.write( "(ff)/42 = x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "After 10 days:<BR>\n" );
document.write( "Amt of original food remaining = (32/42)(ff) = (16/21)ff<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(16/21)(ff)/(x+200) = 24<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Substitute for (ff) and solve for \"x\":<BR>\n" );
document.write( "(16/21)(42x)/(x+200) = 24<BR>\n" );
document.write( "---<BR>\n" );
document.write( "16(2x) = 24x + 4800<BR>\n" );
document.write( "32x = 24x + 4800<BR>\n" );
document.write( "8x = 4800<BR>\n" );
document.write( "x = 600 men (number of men in the fort before 200 more arrived)<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );