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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   



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) About Me  (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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