so there this cheap guy who measures ice cream in kg ... he uses a scale and doens't measure something twice ... he only uses 4 weights and sells ice cream from 1-40 kg what are the values of the weights?

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- Sep 5th 2008, 08:47 PMsoulsoundXd math problem
so there this cheap guy who measures ice cream in kg ... he uses a scale and doens't measure something twice ... he only uses 4 weights and sells ice cream from 1-40 kg what are the values of the weights?

- Sep 5th 2008, 09:21 PMMatt Westwood
1, 3, 9 and 27 kg.

1 kg: 1 on the LHS, ice cream on the RHS.

2kg: 3 on the LHS, 1 and the ice cream on the RHS.

3kg: 3 on the LHS, ice cream on the RHS.

4kg: 3 and 1 on the LHS ...

5kg: 9 on the LHS, 3 and 1 on the RHS

6kg: 9 on the LHS, 6 on the RHS

And so on.

It's a thinly-disguised way of interpreting numbers in base 3.