a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 of the total books. of the remaining books, 75% are business. how many books are in the math section?

Question

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Respuesta :

lublana lublana · Answer 1 · 2018-09-19T18:31:24+02:00

Given that total number of books in the book store = 75972

Given that total number of books in science section =[tex] \frac{1}{3}[/tex] rd of total books =[tex] \frac{1}{3}*75972 [/tex] = 25324

Then remaining number of books = 75972 - 25324 = 50648

Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986

Then number of books in the math section = 50648 - 37986 = 12662

Hence final answer is 12662 books in the math section.

lidaralbany lidaralbany · Answer 2 · 2019-07-25T07:57:10+02:00

The number of books in the math section are:

12662 books.

The total number of books in the store are: 75972

Now, it is given that:

i.e. The number of science books are: (1/3)×75972

= 25324 books.

This means that the Remaining books are:

Total books-Number of science books

= 75972-25324

= 50648

i.e.

Number of business books are: 75% of 50648

= 0.75× 50648

= 37986

Hence, the number of books in the math section are: Total books-Number of books in the other two sections

= 75972-(37986+ 25324)

= 12662 books.