Answer:
For 130 non-fiction books, the number of fiction books can be from 270 to 278.
Step-by-step explanation:
Given that, there are 5 non-fiction books for every 9 fiction books.
Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.
So, there are 5 non-fiction books for every 9 to (9+8) fiction books
So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.
Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).
For, 150 non-fiction books, 5n=150 or n=150/5=30.
Hence, the number of fiction books can be from 9n to (9n+8).
=9x30 to (9x30+8)
=270 to 278.
Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.
