Solution: Suppose that there are X people producing big gears and (85-x) people producing small gears. According to the meaning of the question:

3× 16x=2× 10(85-x)

48x= 1700-20x

68x= 1700

X=25 85-25=60 (person)

A: Arranging 25 people to produce big gears and 60 people to produce small gears can meet the problem.