SOLUTION: 240 students in a hostel had a provision for 30 days. After somedays 80 more students joined the hostel and the provision lasted only for 18 days. After how many days did the stude

Question 1039978: 240 students in a hostel had a provision for 30 days. After somedays 80 more students joined the hostel and the provision lasted only for 18 days. After how many days did the students join the hostel ?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
240 students in a hostel had a provision for 30 days.
Let "p" be the # of provisions::
p/240 = 30 prov/student
p = 240*30 = 7200 provisions
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After some days 80 more students joined the hostel and the provision lasted only for 18 days. After how many days did the students join the hostel ?
Let the number of days be "d"
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provisions - prov - prov = 0 provisions
7200 - (d*240) - (18[7200-240d]/320] = 0
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7200 - 240d - (18/320)7200 + (18/320)(240d) = 0
7200 - 240d - 405 + 13.5d = 0
226.5d = 6795
Ans: d = 30
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Cheers,
Stan H.

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