Number of books in non fiction section = 200
Number of books in fiction section = 800
Number of books in reference section = 850
Step-by-step explanation:
Total number of books in the library = 1850
Let us assume, number of books in non fiction section = m
Number of books in fiction section= 4 x Number of books in non fiction
= 4 x (m)
So, the number of books in reference section = 650 + m
Now, Total Number of books = Number of { Fiction + Non- Fiction + Reference} Books
or, 1850 = m + (4 m) + 650 + m
or, 6 m + 650 = 1850
⇒ 6 m = 1850 - 650 = 1200
or, m = 1200 / 6 = 200
⇒ m = 200
Hence, the number of books in non fiction section = 200
Number of books in fiction section = 4 m = 4 x 200 = 800
Number of books in reference section = 650 + m = 200 + 650 = 850