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
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To find the greatest number of bags Devon can make, we need to find the greatest common divisor (GCD) of 25 and 15.
The factors of 25 are 1, 5, and 25.
The factors of 15 are 1, 3, 5, and 15.
The common factors of 25 and 15 are 1 and 5. Therefore, the GCD of 25 and 15 is 5.
To determine the greatest number of bags, we divide the total number of stickers (25) by the GCD (5).
25 ÷ 5 = 5
Devon can make 5 bags, with each bag containing 5 stickers.
Similarly, to find the greatest number of bags that can have the same number of pieces of fruit, we divide the total number of fruit (15) by the GCD (5).
15 ÷ 5 = 3
Devon can make 3 bags, with each bag containing 5 stickers and 3 pieces of fruit.
Therefore, the greatest number of bags Devon can make is 3.