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The ratio of nonfiction books to fiction books in a library is 105 to 189. Which statement describes this relationship?



A)
There are 5 nonfiction books for every 9 fiction books in the library.

B)
There are 9 fiction books for every 5 nonfiction books in the library.
C)
There are 5 nonfiction books for every 14 books in the library.

D)
There are 9 fiction books for every 14 books in the library.

Respuesta :

Answer: A)There are 5 nonfiction books for every 9 fiction books in the library.  

Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.

105/5=21 and after 21*9 lines up and to check your work than

5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9

Per 5 nonfiction books there are 9 fiction books in the given library.

Given that;

Ratio of nonfiction books to fiction books = 105:189

Computation:

Ratio of nonfiction books to fiction books = 105:189

[tex]Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{105}{189}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{35}{63}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{5}{9}\\\\[/tex]

So,

we say that;

Per 5 nonfiction books there are 9 fiction books

Option "A" is the correct answer to the following question.

Learn more:

https://brainly.com/question/19257327?referrer=searchResults

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