Question

You are a librarian. You know that approximately 12% of books that are checked out get returned late. Each late book results in an average fine of $4.25. This week, 462 books were checked out from the library.

Which set of equations could be used to estimate the total fines for those books that will be returned late?


A. late books = 12/100 x 462

total fines = late books/4.25

B. late books = 462/12 x 100

total fines = late books/4.25

C. late books = 12/100 x 462

total fines = 4.25 x late books

D. late books = 12/462 x 100

total fines = 4.25 x late books

E. late books = 462/12

total fines = 4.25 x late books

Answer 1

answer is A

Explanation:

Answer 2

A shows the correct set of equation.

Late books = 12/100 x 462

Total fines = late books/4.25

Explanation:

Total number of books issued = 462

Fine on late books = $4.25 per book

12% of the issued books are late returned.

So, the number of the books that are returned late here= 12% of 462

Late books =
`(12)/(100)  * 462`

Also, Since fine on each late book = $4.62

The fine on late books = Total number of late books x ($4. 62)

So, A. is the correct option