The smallest number you can purchase is 60 small cups and paper plates.
Step-by-step explanation:
Given,
Number of cups in each pack = 10
Number of plates in each pack = 12
We will find the least common multiple of 10 and 12.
10 = 10,20,30,40,50,60,70,....
12 = 12,24,36,48,60,72,84,.....
The least common multiple of 10 and 12 is 60.
Therefore,
The smallest number you can purchase is 60 small cups and paper plates.
Keywords: least common multiples
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