Question 1
An organizing committee packs Buuz dumplings in small and large boxes of positive integer capacities. A small box holds less than half a large box. One large and one small together hold 63 dumplings. One large and two small hold two-fifths of all prepared dumplings. Packing all into three large and two small boxes leaves a positive integer $n$ unpacked. Find the sum of all possible values of $n$.
