Alibrary 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 fiction section

33,991 books

Explanation:

You have a total of 67,982 books. To find 1/3 of that, you divide it by 3.

67,982/3=22,660.66667

The result is the number of children's section books. Now subtract this number from the total number, because "of the remaining books 75% are fiction".

67,982-22,660.66667=45,321.33333

This is the amount of remaining books. Now multiply this number by 0.75, which is 75% in decimal form, because 75% of it is fiction.

45,321.33333*.75=33,991

33,991 books are in the fiction section.

Number of books in fiction section is 33,991

Let Nc denote number of children section books

Let Nr denote number of remaining books

Total number of books N = 67,982

Number of children section books Nc = 1/3 x N

Number of children section books Nc = 1/3 x 67,982

Number of children section books Nc = 67,982/3

Number of remaining books Nr = 67,982 - 67,982/3

Number of remaining books Nr = 135,964 / 3

Number of fiction book Nf will be:

Nf = Nr * (75 / 100)

Nf = (135,964 / 3) x (75 / 100)

Nf = 10197300 / 300

Nf = 33,991

In conclusion, the number of books in fiction section Nf is 33,991

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