Ah - I found a really helpful post from Erichalfbee from last October - which I'll copy here so I can find it again
Stolen from BBKA
Weight of a brood box plus empty frames – 7kg
Weight of a super plus empty frames – 5kg
Weight of bees – 7700 bees weigh 1kg, and therefore 40,000 bees weigh 5kg
Weight of honey in a super – 12kg
Weight of wax in a brood box – 1.5kg
Weight of floor plus crown board – 1kg
To ensure that a colony is heavy enough for the Winter. Consider a colony in a single brood box. To survive the Winter the weight should consist of
Floor and crown board 1kg
Brood box and frames 7kg
Wax in brood frames 1.5kg
Bees (15000) 2kg
Honey 18kg
Total 29.5kg – i.e. between 14 and 15kg when hefting a single side.
2) to ensure that a colony has sufficient stores to survive a dearth in June. Consider a colony with a brood box and one super. Its minimum weight should be
Floor and crown board 1kg
Brood box and frames 7kg
Super and frames 5kg
Wax in brood frames 1.5kg
Wax in super 1kg
Bees (40000) 5kg
Brood (20000) 2kg
Honey (sufficient to ensure survival for a week) 5kg
Total 27.5kg – that is between 13 and 14kg when hefting a single side
So I need to take a bit of a guestimate about what the double brood should weigh (I'm sure it's not just double a single brood because that would be too simple). Oh - and buy some scales of course.