A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?

Rationale

There are 11,331 books in the non-fiction section.

To determine the number of non-fiction books, we first calculate the number of children's books, which is 1/3 of the total collection. This leaves us with the remaining books, 75% of which are fiction, allowing us to find the number of non-fiction books.

A (11,331) CORRECT

This choice is correct. The children's section has 22,661 books (67,982 / 3). The remaining books total 45,321 (67,982 - 22,661). Since 75% of these are fiction (34,990), the non-fiction section has 11,331 books (45,321 - 34,990).

B (33,990) YOUR ANSWER

This option incorrectly assumes a different proportion of books in the non-fiction section. If 33,990 books were non-fiction, that would imply much fewer fiction books than calculated, contradicting the given 75% fiction ratio from the remaining books.

C (50,986) YOUR ANSWER

This choice suggests that there are significantly more non-fiction books than calculated. If 50,986 were non-fiction, it would leave far too few books for the fiction section, again conflicting with the stated ratio of 75% fiction from the remainder of the collection.

D (45,321) YOUR ANSWER

Selecting this option implies that no books are classified as fiction, which is not consistent with the problem's stipulation that 75% of the remaining books are fiction. This misinterpretation overlooks the calculation that must account for the children's section.

Conclusion

The calculation shows that the non-fiction section contains 11,331 books after accounting for the children's section and the proportion of fiction books among the remaining titles. Understanding the distribution of book types in the library is essential for accurate categorization, and this question illustrates the importance of careful mathematical reasoning in problem-solving.

A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?

There are 11,331 books in the non-fiction section.

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