\Devon is making treat bags to pass out to his cousins at the next family party. He has 25 stickers and 15 pieces of fruit. He wants each of the treat bags to have the same number of stickers. He also wants each of the treat bags to have equal numbers of pieces of fruit. He does not want to have any stickers or pieces of fruit left over. What is the greatest number of bags he can make so that each cousin gets the same number of stickers and the equal number of pieces of fruit?(1 point)

Question

The greatest number of bags is

Answer 1

To find the greatest number of treat bags Devon can make, we need to determine the greatest common divisor (GCD) of the number of stickers (25) and the number of pieces of fruit (15).

First, we can list the factors of each number:

• Factors of 25: 1, 5, 25
• Factors of 15: 1, 3, 5, 15

The common factors of 25 and 15 are 1 and 5. The greatest of these is 5.

Therefore, the greatest number of bags Devon can make, so that each cousin gets the same number of stickers and pieces of fruit, is 5 bags.