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Gala2k [10]
3 years ago
14

a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o

f the total books. of the remaining books, 75% are business. how many books are in the math section?
Mathematics
2 answers:
GaryK [48]3 years ago
5 0
<h2>Answer:</h2>

The number of books in the math section are:

                             12662 books.

<h2>Step-by-step explanation:</h2>

The total number of books in the store are: 75972

Now, it is given that:

  • The science section represents 1/3 of the total books.

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

                                                           =   25324 books.

  • Also,of the remaining books, 75% are business.

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.

Pachacha [2.7K]3 years ago
4 0

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

Given that total number of books in science section =\frac{1}{3} rd of total books =\frac{1}{3}*75972 = 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.

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