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Average math problem

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saafiin
 Post subject: Average math problem
 Post Posted: Fri Nov 18, 2011 12:07 pm 
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Posts: 7
Q: In a class of 30 students, 2 students borrowed no books, 12 students borrowed 1 book each, 10 students borrowed 2 books each and rest of the students borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2. then what is the maximum number of books that any single student could borrowed?
a. 3
b. 5
c. 8
d. 13
e. 15

Can some one please help me out? I really got stuck with the question.
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parthatayi
 Post subject: Re: Average math problem
 Post Posted: Fri Nov 18, 2011 2:18 pm 
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Course Students


Posts: 40
The total no of student=30
Total no of books= 60
Total no of books after distributing to (12+ 10+6)students= 12*1 +10*2+ 6*3= 50 books
Remaining are 10 books.these can be distribited to one of the 6 students.Remember every student among yhe 6 already has 3.
Therefore maximum no of books a student can have is 3+10=13

Thanks and Regards,
Partha.
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saafiin
 Post subject: Re: Average math problem
 Post Posted: Fri Nov 18, 2011 3:43 pm 
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Posts: 7
wow it was tricky... Thank you partha...
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RonPurewal
 Post subject: Re: Average math problem
 Post Posted: Wed Nov 23, 2011 6:50 am 
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ManhattanGMAT Staff


Posts: 7146
search the forum, please.

in-a-class-of-3o-students-2-t3168.html
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