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?
2 answers:
<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.
Given that total number of books in the book store = 75972
Given that total number of books in science section =
rd of total books =
= 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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