there are 100 books in the liberary , divded into four categories . the books ratio is as follows: 3 science fiction books to every two history books and four history books to every three comic books. the remaining books are art books how many art books are in the library, if we know that it holds nine comics books
Answers
Answer:
61 art books are in the library
For every 3 science books, there are 2 history books:
S:H = 3:2
For every 4 history books, there are 3 comic books:
H:C = 4:3
From above, we have that S:H:C = 12:8:6(6:4:3)
if over all 9 books are comic then
18 r science books
12 r history books and remaining are arts books
thus there are 61 arts books(100-18-12-9)
Given : there are 100 books in the liberary ,
divided into four categories .
the books ratio is as follows:
3 science fiction books to every two history books and
four history books to every three comic books.
the remaining books are art books
nine comics books in library
To Find : how many art books are in the library,
Solution:
3 science fiction books to every two history books
four history books to every three comic books.
for 3 comic books. number of history books = 4
=> for 1 comic book number of history books = 4/3
=> for 9 comic books number of history books = 9 * 4/3 = 12
History Books = 12
For every 2 history books number of fiction books = 3
=> For 1 history book number of fiction books = 3/2
=> For 12 history books number of fiction books = 12 * 3/2 = 18
Fiction Books = 18
Art books = 100 - 9 - 12 - 18
=61
Hence 61 art books
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