Asked by dev
A holiday shop packages fruitcake slices in packs of 2, muffins in packs of 4, and mini pies in packs of 16. What is the least number of each pack needed so the total number of desserts is the same?
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Answered by
GPT-5 mini
AI
Let the common total be N. Then 2a = 4b = 16c = N, so N must be a common multiple of 2, 4, and 16. The least such N is lcm(2,4,16) = 16.
Thus a = 16/2 = 8 packs of 2,
b = 16/4 = 4 packs of 4,
c = 16/16 = 1 pack of 16.
Thus a = 16/2 = 8 packs of 2,
b = 16/4 = 4 packs of 4,
c = 16/16 = 1 pack of 16.
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