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)
The greatest number of bags is
.
To find the greatest number of bags, we need to find the greatest common divisor (GCD) of 25 and 15, as this will give us the maximum number of bags that can be made while still distributing the stickers and fruit evenly.
The factors of 25 are 1, 5, and 25.
The factors of 15 are 1, 3, 5, and 15.
The greatest common divisor of 25 and 15 is 5, because it is the largest factor that they have in common.
Therefore, Devon can make a maximum of 5 treat bags, with each bag containing 5 stickers and 3 pieces of fruit.
The answers 5
To find the greatest number of bags Devon can make, we need to find the greatest common divisor (GCD) of the number of stickers and the number of pieces of fruit. The GCD will give us the maximum number of bags that have the same number of stickers and pieces of fruit.
The GCD of 25 and 15 is 5. Therefore, Devon can make a maximum of 5 bags so that each cousin gets the same number of stickers and the equal number of pieces of fruit.
To find the greatest number of bags, we need to find the greatest common divisor (GCD) of the number of stickers and the number of pieces of fruit. The GCD represents the largest number that divides both numbers evenly, ensuring that each bag has an equal distribution of stickers and fruit.
First, we need to find the GCD of 25 and 15.
One method is to list the factors of each number:
Factors of 25: 1, 5, 25
Factors of 15: 1, 3, 5, 15
From the lists, we can see that 5 is the largest number that appears in both lists. Therefore, the GCD of 25 and 15 is 5.
To determine the greatest number of bags, we divide each quantity by the GCD:
Number of bags = GCD(25, 15) = 5
So Devon can make 5 treat bags, ensuring each cousin gets the same number of stickers and the equal number of pieces of fruit.