Tucker is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 3. If Tucker wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?
Question
Tucker is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 3. If Tucker wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?
Solution
To find the smallest number of erasers that Tucker can buy, we need to determine the least common multiple (LCM) of 6 and 3.
First, let's list the multiples of 6: 6, 12, 18, 24, 30, 36, ...
Next, let's list the multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
From the lists, we can see that the LCM of 6 and 3 is 6.
Therefore, the smallest number of erasers that Tucker can buy is 6.
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