How many baseballs are used in a seaspon by teams in the Major leagues?

Answer 1

Between 5 and 6 dozen balls are used per MBL game. Each team plays 81 home games so a number of baseballs needed per team is between 4,860 and 5,832 to play their season game schedule. About that many more would be needed for their practice time.
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Answer 2

20,000