One is 5 the other is 4 if my ancient greek is good enough.
Our Greek may be at similar levels (mine is pretty atrocious!) and yes, penta = 5 and tetra = 4.
However, let's not confuse the
tetraborate with
pentahydrate and
decahydrate.
All borax is
tetraborate, with the formula Na
2B
4O
7. Note the 4 borons, hence the name '
tetraborate'.
However, as sold, this salt comes in three forms:
1: As a pure salt without any water, i.e.
anhydrous.
2: As a salt with nominally five atoms of water per sodium tetraborate molecule: the
pentahydrate or Na
2B
4O
7.5(H
2O) (which technically is apparently a
trihydrate, but it's commonly referred to as the pentahydrate).
3: As a salt with nominally ten atoms of water per sodium tetraborate molecule: the
decahydrate or Na
2B
4O
7.10(H
2O) (which confusingly is really a octahydrate...)
They're all 'borax', but the molecular weights differ somewhat due to the different amounts of water you get mixed in with the sodium tetraborate.
The decahydrate has a molecular weight of 381.37 g/mol.
The pentahydrate has a molecular weight of 291.35 g/mol.
The anhydrous form AFAIK is not commonly sold as a grocery item; its molecular weight is 201.22 g/mol.
This means the decahydrate is roughly 25% heavier than the pentahydrate, so you'll need to use around 25% more of it if the recipe calls for the pentahydrate. That's an approximation, but it will be close enough for photochemistry.