SOLUTION: a besiege fortress is held by 5700 men who have provision for 66 days. if the garrison losses 20 men each day, for how many days can the provision hold out?
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Question 361865: a besiege fortress is held by 5700 men who have provision for 66 days. if the garrison losses 20 men each day, for how many days can the provision hold out? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Let x = amount of provision for each man for each day.
Then +... +.
Dividing both sides by x, we get +... +,
+... +.
The left side is the sum of an arithmetic sequence, whose sum is . Thus , or , or , or .
Thus n = 495, or n = 76. The first value won't satisfy the 1st or the 2nd equation at the start of this solution, so n = 76. Therefore the garrison can hold out for 76 days.
