. A hostel had rations for
60 days for 500 students. After 12 days, 300 more students join the hostel mess.
How lo

1 thought on “<br />. A hostel had rations for<br />60 days for 500 students. After 12 days, 300 more students join the hostel mess.<br />How lo”

1. Answer:

   Let total rations be P kg.

   Given, the rations are sufficient for 60 days. So, the ration used in one day is p/60 kg. This is for students. So, the ration used per day per student is p/(60*500) kg.

   ration used in 12 days=12*p/60=p/5 kg

   ration left= 4p/5

   Let the number of days be d.

   Now, number of students is 800.

   So, ration per day per student= (4p/5)/(800*d)

   p/(60*500)=(4p/5)/800*d

   Therefore d=30.

   The remaining rations will last for 30 days.

   Step-by-step explanation:

   Let total rations be P kg.

   Given, the rations are sufficient for 60 days. So, the ration used in one day is p/60 kg. This is for students. So, the ration used per day per student is p/(60*500) kg.

   ration used in 12 days=12*p/60=p/5 kg

   ration left= 4p/5

   Let the number of days be d.

   Now, number of students is 800.

   So, ration per day per student= (4p/5)/(800*d)

   p/(60*500)=(4p/5)/800*d

   Therefore d=30.

   The remaining rations will last for 30 days.

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