Question

A librarian knows that 45% of the books currently

checked out will not be returned on the due date.
The library has a total of 5,040 books. How many
of the library's books will be returned on the due
date?
A 2268
B 2772
C 45
D 5040

Answer 1

`2772`

Explanation:

The amount of books that will not be returned are
`45`%
`=45/100=9/20`, multiplied by
`5040`. We multiply it by
`5040` because
`45`%
`(5040)=45`%
`*5040`.

`45/100*(5040)=9/20*(5040)=9/2*504=9*252=2268`, so the answer is
`2268`, right?

Wrong!
`2268` is the amount of books that will NOT be returned on the due date. We need the amount of books that WILL be returned on the due date. So, the real answer is
`5040-2268=2772`.

So, the answer is
`\boxed{2772}` and we're done!