Answer:
the greatest number of identical packages of books and animals that can be made is 15.
Explanation:
To find the greatest number of identical packages of books and animals, we need to determine the greatest common divisor (GCD) of 45 (books) and 30 (stuffed animals).
The GCD is the largest number that divides both 45 and 30 without leaving a remainder. In other words, it is the largest common factor of both numbers.
To find the GCD, we can list the factors of each number and find the largest one they have in common.
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
From these lists, we can see that the greatest common factor is 15.
Therefore, the greatest number of identical packages of books and animals that can be made is 15.