Kimi is packing crates that can hold 12 pears, and Camille is packing crates that hold 6 pears. If they must pack the same total number of pears, what is the minimum number of pears each must pack?
Question
Kimi is packing crates that can hold 12 pears, and Camille is packing crates that hold 6 pears. If they must pack the same total number of pears, what is the minimum number of pears each must pack?
Solution
To find the minimum number of pears each must pack, we need to find the least common multiple (LCM) of the numbers 12 and 6.
Step 1: List the multiples of each number.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...
Step 2: Find the smallest number that appears in both lists.
The smallest number that appears in both lists is 12.
So, the minimum number of pears each must pack is 12.
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