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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