Answer :
Answer:
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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