Sue's Apparel sells undershirts in packs of 7. The store's competitor, Brian's Basics, sells undershirts in packs of 11. If both stores sold the same number of undershirts yesterday, what is the smallest number of undershirts each could have sold?
Question
Sue's Apparel sells undershirts in packs of 7. The store's competitor, Brian's Basics, sells undershirts in packs of 11. If both stores sold the same number of undershirts yesterday, what is the smallest number of undershirts each could have sold?
Solution
To find the smallest number of undershirts each store could have sold, we need to find the least common multiple (LCM) of 7 and 11, which are the pack sizes at Sue's Apparel and Brian's Basics respectively.
Step 1: List the multiples of each number Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77... Multiples of 11: 11, 22, 33, 44, 55, 66, 77...
Step 2: Find the least common multiple The smallest number that appears in both lists is 77.
So, the smallest number of undershirts each store could have sold is 77.
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