In a scout camp, there is food provision for 400 cadets for 36days. If 50 more persons join the camp, for how many days will the provision last?
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This question is based on inverse variation.
The more the number of consumers, the food will last for less number of days.
If 50 more cadets join the total number of cadets will be 400+50= 450. 400 cadets will consume the provision for 36 days. 450 cadets will finish it in X days.
400/450=X/36
We have to cross multiply this equation. After cross multiplying it we get 450X=400×36
X=(400×36)/450=14400/450=32
Therefore, the food provision will last for 32 days if 50 more cadets join the camp.
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