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?
A.
11,330
B.
50,986
C.
45,321
D.
33,990
To determine the number of books in the non-fiction section, follow these steps:
- Calculate the number of books in the children’s section:Children’s section=13×67,982=22,660 books\text{Children’s section} = \frac{1}{3} \times 67,982 = 22,660 \text{ books}Children’s section=31×67,982=22,660 books
- Determine the number of books remaining after accounting for the children’s section:Remaining books=67,982−22,660=45,322 books\text{Remaining books} = 67,982 – 22,660 = 45,322 \text{ books}Remaining books=67,982−22,660=45,322 books
- Calculate the number of fiction books (75% of the remaining books):Fiction books=0.75×45,322=33,991.5≈33,990 books\text{Fiction books} = 0.75 \times 45,322 = 33,991.5 \approx 33,990 \text{ books}Fiction books=0.75×45,322=33,991.5≈33,990 books
- Find the number of non-fiction books (the remaining 25% of the remaining books):Non-fiction books=45,322−33,990=11,332 books\text{Non-fiction books} = 45,322 – 33,990 = 11,332 \text{ books}Non-fiction books=45,322−33,990=11,332 books
Given that the closest answer choice is 11,330, which is very close to the calculated 11,332, we should select:
A. 11,330
Explanation: After accounting for the children’s section and calculating the proportions of fiction and non-fiction books, we find that the number of books in the non-fiction section is approximately 11,330.