There are 497 books in a school library. They are numbered from 1 to 497.
A teacher takes away all the books numbered 57 to 83 to distribute in her class.
How many books are there in the library now?
After the teacher takes away the books numbered 57 to 83, there will be a total of 497 - (83 - 57 + 1) books left in the library.
Simplifying the equation, we get 497 - (83 - 57 + 1) = 497 - 26 = 471 books.
Therefore, there are now 471 books in the library.
To find out how many books are left in the library after the teacher takes away books numbered 57 to 83, we need to subtract the number of books taken away from the total number of books in the library.
The number of books taken away = 83 - 57 = 26 books.
To find how many books are left in the library, we subtract the number of books taken away from the total number of books:
Total number of books - Number of books taken away = Number of books left
497 - 26 = 471 books.
So, there are 471 books left in the library.