SOLUTION: A garrison of 1200 men is provisioned for 15 weeks at the rate of 3 kg per day per man.How many weeks can the same provision last for 1500 men at 4kg per day per man?

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Question 975771: A garrison of 1200 men is provisioned for 15 weeks at the rate of 3 kg per day per man.How many weeks can the same provision last for 1500 men at 4kg per day per man?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A garrison of 1200 men is provisioned for 15 weeks at the rate of 3 kg per day per man.
How many weeks can the same provision last for 1500 men at 4kg per day per man?
:
Find how many kg required by 1200 men for 15 weeks
1200 * 7 * 15 * 3 = 378000 kg
:
let w = no. of weeks to provide for 1500 men at 4 kg per day
1500 * 4 * 7w = 378000
42000w = 378000
w = 378000/42000
w = 9 weeks