SOLUTION: A fort has provisions for 80 days. If after 15 days 500 men strengthen them and the food lasts 40 days thereafter, how many men were there in the fort?

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Question 774617: A fort has provisions for 80 days. If after 15 days 500 men strengthen them and the food lasts 40 days thereafter, how many men were there in the fort?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A fort has provisions for 80 days.
If after 15 days 500 men strengthen them and the food lasts 40 days thereafter,
how many men were there in the fort?
:
Let m = no. of men originally at the fort
Then
80m = original number of man/food days
:
80m - 15m = 65m food days remaining after 15 days
:
40(m+500) = 65m
40m + 20000 = 65m
20000 = 65m - 40m
20000 = 25m
m = 20000/25
m = 800 men originally at the fort