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?
11,330
50,986
45,321
33,990
Correct Answer : A
Remaining fraction = \(1-\frac{1}{3}=\frac{3}{3}-\frac{1}{3}=\frac{2}{3}\)
Number of remaining books
\(\frac{2}{3}\ast67982=\frac{135964}{3}\ books\)
Number of fiction books
\(\frac{75}{100}\ast\frac{135964}{3}\ books=33\ 991\ books\)
Number of non-fiction books is 25% of the remaining books
\(\frac{25}{100}\ast\frac{135964}{3}\ books=11330.333\ books\)
Thus, the number of non-fictional books is 11330.
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