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3. Justin has 20 pencils, 25 erasers, and 40 paper clips. He organizes them into groups with the same number of items in each group. All the items in a group will be the same type. How many items can he put in each group?

Ask by Moreno Cox. in the United States
Feb 04,2025

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Justin can put 5 items in each group.

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Extra Insights

Justin can create groups based on the greatest common divisor (GCD) of the quantities of each item. Here, the GCD of 20 pencils, 25 erasers, and 40 paper clips is 5. This means Justin can organize each type of item into groups of 5. For example, he can create 4 groups of pencils, 5 groups of erasers, and 8 groups of paper clips, allowing for a well-organized and tidy workspace! By thinking of grouping in this way, Justin not only maximizes his organization but also minimizes waste! Should he change his supplies in the future and acquire more items, he can always recalculate the GCD. This strategy is helpful in various scenarios, like when sharing snacks or dividing resources among friends, keeping things simple and fair.

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