Answer:
She needs 4 shelves. The number of books in each shelf are: 4 adventure books, 8 mysteries books, and 3 biographies books.
Step-by-step explanation:
Consider the provided information.
Sally is arranging her books on shelves. She has 16 adventure books, 32 mysteries, and 12 biographies.
We need to find the greatest number of shelves that Sally will use if she puts all the books on shelves.
First calculate the GCF of the provided number as shown:
16 = 2×2×2×2
32 = 2×2×2×2×2
12 = 2×2×3
The GCF = 2×2 = 4.
Hence, she needs 4 shelves.
Now find how much of each type of book will be on each shelf.
There are 16 adventure books for 4 shelves, that means each shelves should have 4 adventure books.
There are 32 mysteries books for 4 shelves, that means each shelves should have 8 mysteries books.
There are 12 biographies books for 4 shelves, that means each shelves should have 3 biographies books.
Hence, the number of books in each shelf are 4 adventure books, 8 mysteries books, and 3 biographies books.
