SOLUTION: a garrison of 600 men had provision for 25 days.after 9 days an addition of men was made and the remaining provision latest only for 4 days.find the number added.

Question 995562: a garrison of 600 men had provision for 25 days.after 9 days an addition of men was made and the remaining provision latest only for 4 days.find the number added.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In 1 day, the 600 men consume
of the provisions
----------------
In 1 day, each of the 600 men consume
of the
provisions
----------------
After 9 days, the 600 men consume
of the provisions
That means there is
of the provisions left
-----------------
was consumed in 4 days
[ rate for 1 man in 1 day ] x [ 600 + n men] x [ 4 days ] = [ fraction of provisions left ]

1800 men were added
-------------------
check:

OK
Definitely get a 2nd opinion on this.
It is a little tricky for me

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

a garrison of 600 men had provision for 25 days.after 9 days an addition of men was made and the remaining provision latest only for 4 days.find the number added.

, with: M being number of men k being constant of variation c being consumption T being time , or 15,000 In 9 days, we get: c, or fraction consumed in 9 days = , or In 9 days, of the provision was consumed by 600 men, so , or of provision remain With additional men being A, we get: 600 + A = 2,400 A, or additional men = 2,400 - 600, or

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