14. 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?
Answer: A
There are 11,331 books in the non-fiction section.
The total number of books in the library is 67,982, with the children's section comprising 1/3 of this total, which equals 22,661 books. The remaining books total 45,321, and since 75% of these are fiction, it follows that 25% are non-fiction, calculating to 11,331 books.
A) 11,331
Option A is correct as it represents the accurate calculation of the non-fiction books. After determining that there are 45,321 books left after accounting for the children's section, 25% of this amount equals 11,331, confirming that this is indeed the number of non-fiction books.
B) 33,990
Option B is incorrect because it does not reflect the correct percentage of non-fiction books from the remaining total. If 75% of the leftover books are fiction, then only 25% can be non-fiction, which does not align with the figure presented in this option.
C) 50,986
Option C is incorrect as it exceeds the total number of remaining books after the children's section is accounted for. Given that there are only 45,321 books left, having 50,986 non-fiction books is impossible and miscalculates the distribution of fiction versus non-fiction.
D) 45,321
Option D is also incorrect as it represents the total number of books remaining after the children's section, rather than the number of non-fiction books. Since only 25% of the remaining books are non-fiction, this option does not reflect the proper calculation.
Conclusion
In summary, the correct answer is 11,331, as it accurately represents the number of non-fiction books calculated from the total library inventory. All other options fail to meet the criteria established by the question, either by miscalculating the percentages or exceeding the total number of remaining books. Thus, option A is definitively the right choice.