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Question
Emma is packing crates that can hold 5 apples, and Jacob is packing crates that hold 10 apples. If they must pack the same total number of apples, what is the minimum number of apples each must pack?
Emma is packing crates that can hold 5 apples, and Jacob is packing crates that hold 10 apples. If they must pack the same total number of apples, what is the minimum number of apples each must pack?
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Solution
The correct option is B 10
Find the smallest number that is a multiple of both 5 and 10. This is the least common multiple.
List the multiples of each number. Find the smallest number that appears in both lists.
Multiples of 5: 5, 10, 15, 20, 25
Multiples of 10: 10, 20, 30, 40, 50
The least common multiple of 5 and 10 is 10. That means that the minimum number of apples each must pack is 10, because 2 crates of 5 apples packed by Emma is 10 apples in total and 1 crate of 10 apples packed by Jacob is 10 apples in total.
The smallest number of apples that each must pack is 10.
Find the smallest number that is a multiple of both 5 and 10. This is the least common multiple.
List the multiples of each number. Find the smallest number that appears in both lists.
Multiples of 5: 5, 10, 15, 20, 25
Multiples of 10: 10, 20, 30, 40, 50
The least common multiple of 5 and 10 is 10. That means that the minimum number of apples each must pack is 10, because 2 crates of 5 apples packed by Emma is 10 apples in total and 1 crate of 10 apples packed by Jacob is 10 apples in total.
The smallest number of apples that each must pack is 10.
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