Sixty percent of the books at a library are non-fiction. The library has about 15000 books. How many of the library’s books are

Question

3 years ago

8

non-fiction? Write a proportion to represent the situation

1 answer:

ddd [48] · Answer 1 · 2022-07-25T09:27:58+03:00

There are 9000 non-fiction books in the library.

$100:60::15000:x\\$ 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

$100:60::15000:x\\$

Product of extreme = Product of mean

$100*x=15000*60\\100x=900000$

Dividing both sides by 100

$\frac{100x}{100}=\frac{900000}{100}\\x=9000$

There are 9000 non-fiction books in the library.

$100:60::15000:x\\$ represents the situation.

Keywords: ratio, proportion

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