

A cooperative farm has three subdivisions, A, B, and C. The subdivisions loan equipment to each other as needed. In the beginning, A loaned B and C as many reapers as each (meaning B and C) then had. Several months later B loaned A and C as many reapers as each (meaning A and C) then had. The following spring C loaned A and B as many reapers as each (meaning A and B) then had. Each subdivision then had 16 reapers. How many reapers did each have to begin with?