In a class of 25 students, 2 students did not borrow any books from the library, 12 students each ...

In a class of 25 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?

Quiz

Answer/Solution

12

Steps/Work

The total number of books the students borrowed is 25*2=50.
The students who borrowed zero, one, or two books borrowed 12*1+4*2=20 books.
The 7 students who borrowed at least three books borrowed 50-20=30 books.
If 6 of these students borrowed exactly 3 books, then the maximum that one student could have borrowed is 30-18= 12 books.
The answer is E.

General Calculator / Auto Solver

In a class of students, students did not borrow any books from the library, students each borrowed book, students each borrowed books, and the rest borrowed at least books. If the average number of books per student was , what is the maximum number of books any single student could have borrowed?

Calculated Answer

12

Step by Step Solution

In order to solve problem, you must evaluate n0 * n1 - (n2 * n3 + n1 * n4 + n6 * (n0 - (n1 + n4 + n2 * n3) - n3)).

n0 =25
n1 =2
n2 =12
n3 =1
n4 =4
n5 =2
n6 =3
n7 =2