Answer:
5 shelves
Explanation:
Given the following :
Width of shelves = 56cm
Maximum thickness of books = 16cm
When placed side-by-side, the entire collection of books takes up 2.4m
Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.
Entire book collection = 2.4m = (2.4 × 100) = 240cm
Width of shelf = 56cm
In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm
Hence, maximum number of books each shelf can hold with guarantee
Width of shelf / max. Width of book
= 56cm / 16cm = 3.5
Hence, a shelf can hold 3 books with full guarantee.
If books are all 16cm thick, then the number of books ;
240 cm / 16 cm = 15 books
If one shelf can hold 3 books, then,
15/3 = 5 shelves are required to hold the books with maximum guarantee.