Question

9. In the school library, there are 780 books of English and 364 books of Science. Ms. Ekta , the librarian of the school wants to store these books in shelves such that each shelf should have same number of books of each subject. What should be the minimum number of books in each shelf?

Answer 1

Given:

Number of english books in the Library = 780

Number of science books = 364

First we have to find HCF of 780 and 364

364 ) 780 ( 2

728

__________

52 ) 364 ( 7

364

_____________

0

Hence, the HCF of 780 and 364 is 52

Therefore,

The librarian has to store english and science books in shelves such that each shelf would have the same number of each subject.

No. Of English books in each shelf= 780/52= 15

No.of science books in each shelf= 364/52= 7

Hence, Each shelf contains 15 english & 7 science books & Number of such shelves = 52

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Hope This will help you..