easy

[skillszone]

A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?

[Fibonacci]

original supply
330x32x85=89760000g
used in 7 days
3300x7x850=19635000g
remaining amount = 70125000g
daily amount for 25-8 or 17 days = 70125000/17= 4125000
amount per head = 4125000/825 = 5000

so 5000 - 3300 = 1700 more men