184/525
(this is me adding characters)
9 packets.
36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8
Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.







The first case occurs in

for

and

. Extending the domain to account for all real

, we have this happening for

and

, where

.
The second case occurs in

when

, and extending to all reals we have

for

, i.e. any even multiple of

.