A garrison of 2200 men has provisions for 16weeks at the rate of 450gm.per day per man. How many men must leave so that same provisions last for 24 weeks at 330gms per day per man
Answers
This is a question on ratios and proportions.
We analyze it as follows :
Men : provision per man : number 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.
Answer:
200
Step-by-step explanation:
2200 men consume * 450 gm * for 16 weeks
this must now be same as
x men consuming * 330 gm * for 24 weeks
so the eq:
=> 2200*450*16 = x*24*330
=> x = 2000 men will make it
2200 - 2000 = 200 men should leave