document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184253>Question 1184253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "In a castle there is enough food for 72 soldiers to last 24 days. After 4 days another 8 soldiers join them. How many days will the remaining food last.\r<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 #814802 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13195)</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=814802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Initially there is enough food for 72 soldiers for 24 days.<br><BR>\n" );
document.write( "After 4 days, there is enough food for those 72 soldiers for 20 days.<br><BR>\n" );
document.write( "When 8 more soldiers join them, the number of soldiers increases by a factor of 80/72 = 10/9.<br><BR>\n" );
document.write( "That means the number of days the remaining food will last DECREASES by a factor of 10/9: 20*(9/10) = 18.<br><BR>\n" );
document.write( "ANSWER: The remaining food will last 18 days.<br><BR>\n" );
document.write( "Another solution method....<br><BR>\n" );
document.write( "Initially, the number of \"soldier-days\" the food will last is 72*24=1728.<br><BR>\n" );
document.write( "In 4 days, the amount of food consumed by the 72 soldiers is 72*4=288; the number of soldier-days of food remaining is 1728-288=1440.<br><BR>\n" );
document.write( "The number of days 1440 soldier-days of food will last with 72+8=80 soldiers is 1440/80=18.<br><BR>\n" );
document.write( "ANSWER: 18 days<br><BR>\n" );
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