You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books will be on top of the bookcases.
a. How many bookcases must you borrow to display all the books?
You need
bookcases.
b. You fill the shelves of each bookcase in order, starting with the top shelf. How many books are on the third shelf of the last bookcase?
There are
books on the third shelf of the last bookcase.
a. To determine how many bookcases you need to borrow, divide the total number of books by the number of books that can be placed on each shelf. In this case, you need to display 943 books and each shelf can hold 22 books.
So, the calculation would be: 943 books ÷ 22 books per shelf = 42.8636 (rounded to the nearest whole number)
Therefore, you would need to borrow 43 bookcases to display all the books.
b. Since each bookcase has multiple shelves, we need to find out how many shelves there are in the last bookcase. To calculate this, divide the total number of books by the number of books per shelf, and then find the remainder.
As previously calculated, you have 943 books and each shelf holds 22 books. So, the calculation would be: 943 books ÷ 22 books per shelf = 42 full shelves with a remainder.
This means that you have 42 full shelves in the bookcases, but there are still some books leftover. To determine the number of books on the third shelf of the last bookcase, we need to find the remainder.
Subtracting the number of books on the previous full shelves (42 shelves x 22 books per shelf = 924 books) from the total number of books (943 books) gives us the remainder: 943 books - 924 books = 19 books.
Therefore, on the third shelf of the last bookcase, there are 19 books.