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Danish counting

I now learn danish counting system and can't understand some thing.
50 — halvtreds
60 — tres
70 — halvfjerds
80 — firs
90 — halvfems
100 — hundrede

As I can see “halvtreds” is half [of] treds (sixty), but I can't imagine how 50 could be a half of 60?
The same question about 70 – half of 80?
And about 90. Ok, let it be a half of fems, but what's “fems” since 100 is hundrede?

For learning: Danish
Base language: English
Category: Language



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    Best Answer - Chosen by Voting
    I remember seeing an explanation for this, and it's based on the system of counting in scores (units of twenty) instead of units of ten.

    ...aaaaaand here's a cartoon:

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