A troop has provisions for 276 soldiers for 20 days. How many soldiers leave the troop so that the provisions may last for 46 days?
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Let the required number of soldiers be x.
For 276 soldiers, the provision lasts for 20 days.
For x number of soldiers, the provision lasts for 46 days.
Since the number of days the provision lasts has increased,
Therefore the number of soldiers shoukd decrease.
This is a type of inverse variation.
x×46 = 276×20
46x = 5520
x = 5520/46 = 120
But, since here it is asked to find out 'how many soldiers leave the troop', we have to subtract :
(original number of soldiers) - (no. of soldiers for whom the provision will last for 46 days) = (no. of soldiers who should leave the troop)
276 - 120 = 156.
Therefore,
Answer:- 156 soldiers should leave the troop.
For 276 soldiers, the provision lasts for 20 days.
For x number of soldiers, the provision lasts for 46 days.
Since the number of days the provision lasts has increased,
Therefore the number of soldiers shoukd decrease.
This is a type of inverse variation.
x×46 = 276×20
46x = 5520
x = 5520/46 = 120
But, since here it is asked to find out 'how many soldiers leave the troop', we have to subtract :
(original number of soldiers) - (no. of soldiers for whom the provision will last for 46 days) = (no. of soldiers who should leave the troop)
276 - 120 = 156.
Therefore,
Answer:- 156 soldiers should leave the troop.
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