Question

14. A garrison of 2000 men is provisioned for 15
weeks at the rate of 1.5 kg per day per man. How
many men must leave so that the same provisions
may last for 30 weeks at 1 kg per day?

Answer 1

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This is a question on ratios and proportions.

We can write it as this :

Men   :  provision per man :no. of weeks

2200 :         450                  :         16

?       :         330                   :       24

When the provision decreases, the number of men increase.

This is translated as follows :

450/330

If the men increase, the number of weeks decrease.

This is translated as follows :

16/24

Joining these relationships by multiplication we have :

450/330 × 16/24 × 2200 = 50 × 2 × 20 = 2000

This means that this provision will serve 2000 men.

The number which must leave is :

2200 - 2000 = 200

= 200 men should leave.

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