In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How man

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Question: In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How many books are only fiction?

Options:

Correct Answer: 40

Solution:

The number of books that are only fiction is calculated by subtracting the number of books that are both from the total fiction books: 50 - 10 = 40.

In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How many books are only fiction?

In a library, 50 books are fiction, 30 are non-fiction, and 10 are both. How many books are only fiction?

Step 1: Identify the total number of fiction books. In this case, there are 50 fiction books.
Step 2: Identify the number of books that are both fiction and non-fiction. Here, there are 10 books that are both.
Step 3: To find the number of books that are only fiction, subtract the number of books that are both from the total number of fiction books. So, calculate 50 (total fiction) - 10 (both) = 40.
Step 4: The result is that there are 40 books that are only fiction.

Set Theory – Understanding the relationship between different sets, specifically how to calculate the number of elements in one set that do not belong to another.
Venn Diagrams – Visualizing the overlap between different categories (fiction and non-fiction) to understand how to separate them.