The Invention of Number Bases

In their native language, the Bakairi of South America have an additive system for representing numbers:

1 = tokale
2 = azage
3 = azage tokale
4 = azage azage
5 = azage azage tokale
6 = azage azage azage

What number corresponds to "azage azage azage azage tokale"?

8 9 10 11 12

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2 solutions

Brilliant Mathematics Staff
Aug 1, 2020

Each "azage" is 2 and each "tokale" is 1, so the number is just

2 + 2 + 2 + 2 + 1 = 9. 2 + 2 + 2 + 2 + 1 = 9 .

Yajat Shamji
Aug 2, 2020

azage azage azage + + azage tokale = 6 + 3 = 9 = 6 + 3 = \fbox 9

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