Jeffrey's Apparel sells undershirts in packs of 4. The store's competitor, Rita's Basics, sells undershirts in packs of 2. If both stores sold the same number of undershirts yesterday, what is the smallest number of undershirts each could have sold?
To find the smallest number of undershirts each store could have sold, we need to determine the common multiple of the pack sizes of both stores.
Jeffrey's Apparel sells undershirts in packs of 4, and Rita's Basics sells undershirts in packs of 2. To find the common multiple of 4 and 2, we need to find the least common multiple (LCM).
The LCM of 4 and 2 can be found by listing their multiples:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ...
From the lists above, we can see that 4 and 8 are common multiples. Therefore, the LCM of 4 and 2 is 4.
This means that Jeffrey's Apparel and Rita's Basics could have sold at least 4 undershirts each, in packs of 4 and 2, respectively.