the ratio of the number of fiction books to the number of non-fiction books in a library is 5:2. If there are 1421 fiction and non-fiction books altogethee, how many more fiction than non fiction books are there in the library?

Answer:

__There are 609 more fiction books than non fiction books in the library__.

Step-by-step explanation:

## Ratio Word Problem

### What is ratio?

**Ratio** __indicates how many times one number contains another.__ It shows the the relative sizes of two or more values.

The problem above is a **ratio word problem** since it is **asking for how many more fiction than non fiction books there are in the library based on the ratio of the books. **

*Given:*

ratio of fiction books to non-fiction books – 5:2

total number of books – 1421

*Equation:*

Let x be the number.

### 5x + 2x = 1421

*Solution:*

5x + 2x = 1421

7x = 1421

7x/7 = 1421/7

**x = 203**

**Fiction Books **

5x = 5 (203) = 1015

__There are 1015 fiction books.__

**Non-Fiction Books**

2x = 2 (203) = 406

__There are 406 non-fiction books.__

__To know how many more fiction than non fiction books there are in the library, we need to subtract.__

1015 – 406 = 609

*Final Answer:*

### There are 609 more fiction books than non fiction books in the library.

*Checking:*

5x + 2x = 1421

1015 + 406 = 1421

1421 = 1421 ✔

Cross multiply.

5:2 = 1015:406

2 × 1015 = 5 × 406

2030 = 2030 ✔

For examples of word problems involving ratio and proportion, visit the links.

https://brainly.ph/question/281830

https://brainly.ph/question/867439

https://brainly.ph/question/2435621

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