** Abstract:** We find the number of partitions of *n* whose BG-rank is *j*, in terms of *pp*(*n*), the
number of pairs of partitions whose total number of cells is *n*, giving both bijective
and generating function proofs. Next we find congruences mod *5* for *pp*(*n*), and then
we use these to give a new proof of a refined system of congruences for *p*(*n*) that was
found by Berkovich and Garvan.
**AMS Classification:** 05A17, 05A15.
** Keywords:**
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