Question

A library received a donation of 1,728 books. A bookshelf can hold 54 books. Part A. How many bookshelves are needed to hold all of the books? Part B. Write an equation to model the solution to the problem. Enter the correct answers in the boxes. A. bookshelves B. Equation:

Answer 1

Part A

According to the information given in the exercise, a bookshelf can hold 54 books. Then, if you want to calculate the number of bookshelves needed to hold 1,728 books, you can make the following Division:

`(1,728)/(54)=32`

Therefore, 32 bookshelves are needed to hold 1,728 books.

Part B

Let be "x" the number of bookshelves needed to hold 1,728 books.

You know that you need 1 bookshelf to hold 54 books. Then, you can set up the following equation to find the value of "x":

`54x=1,728`

Notice that you set up that "x" bookshelves multiplied by the number of books that 1 bookshelf can hold, is equal to 1,728 books.

Then, if you solve for "x", you get:

`\begin{gathered} x=(1,728)/(54) \\ \\ x=32 \end{gathered}`

Therefore, the answers are:

Part A

`Bookshelves=32`

Part B

Equation:

`54x=1,728`