In a school library there are 1080 books of Mathematics and 792 books of
Science. Ms Shilpi, the librarian of the school wants to store these books in
shelves such that each shelf should have the same number of books of each
subject. What should be the minimum number of each subject in each shelf?
Answers
Given : In a school library there are 1080 books of Mathematics and 792 books of Science. each shelf should have the same number of books of each subject.
To find : What should be the minimum number of each subject in each shelf
Solution:
Maths Books = 1080
Science Books = 792
To find minimum number of each subject in each shelf , we need to find maximum Shelves for that
We need to find HCF ( Highest common Factor )
1080 = 792 * 1 + 288
792 = 288 * 2 + 216
288 = 216 * 1 + 72
216 = 72 * 3
72 is HCF
72 Shelves
Books of Science in Each Shelve = 792/72 = 11
Books of Maths in Each Shelve = 1080/72 = 15
minimum number of each subject in each shelf 11 & 15
Total = 26 Books
11 Books Of Science & 15 books of Math in each Shelve
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