There are 9000 non-fiction books in the library.
[tex]100:60::15000:x\\[/tex] represents the situation.
Step-by-step explanation:
Given,
Total books at library = 15000
Percent of non-fiction books = 60
Percent of all books = 100
Ratio of percent of books to non-fiction books = 100:60
Let,
x represent the number of non-fiction books.
Ratio of number of all books to non-fiction books = 15000:x
Using proportion
Ratio of percent of books :: Ratio of number of books
[tex]100:60::15000:x\\[/tex]
Product of extreme = Product of mean
[tex]100*x=15000*60\\100x=900000[/tex]
Dividing both sides by 100
[tex]\frac{100x}{100}=\frac{900000}{100}\\x=9000[/tex]
There are 9000 non-fiction books in the library.
[tex]100:60::15000:x\\[/tex] represents the situation.
Keywords: ratio, proportion
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