Average math problem

[saafiin]

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.

[parthatayi]

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.

[saafiin]

wow it was tricky... Thank you partha...

[RonPurewal]

search the forum, please.

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