document.write( "Question 1120515: A town under siege has sufficient food for 200 days at a constant rate of consumption. After 50 days, a quarter of the inhabitants escape and those left are put on half rations. How many days altogether will the remaining food last? \n" ); document.write( "
Algebra.Com's Answer #736179 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A town under siege has sufficient food for 200 days at a constant rate of consumption. \n" ); document.write( " After 50 days, a quarter of the inhabitants escape and those left are put on half rations. \n" ); document.write( " How many days altogether will the remaining food last? \n" ); document.write( ": \n" ); document.write( "Lets do this assuming their are 100 people in the town originally \n" ); document.write( "Therefore we have: 100 * 200 = 20000 man-days of food available \n" ); document.write( "In 50 days, 100*50 = 5000 man-days have been consumed leaving 15000 man/days \n" ); document.write( "Now we have 75 people and 15000 man/days available \n" ); document.write( "It will take 15000/75 = 200 days to consume the food at full rations \n" ); document.write( "However at half rations it will last 400 days \n" ); document.write( " \n" ); document.write( " |