Math

A man selling fruit has only three weights. But with them he can weigh any whole number of kilograms (from 1 kg to 13 kg) inclusive on his balance.

What weights does he have?

Responses


math - Kalyan, Friday, September 5, 2008 at 4:38am
The man had 1kg, 3kg and 9 kg weights.


How do you set it up to get this answer? Any ideas?

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asked by Stephanie
  1. You can prove to yourself that 1,3 and 9 work. With them, you can form counterbalances of
    1, 2 (3-1), 3, 4 (3+1), 5 (9-1-3),6 (9-3), 7 (9+1-3), 8 (9-1), 10 (9+1), 11 (9+3-1), 12 (9+3) and 13 (9+3+1)

    A minus sign means putting the weight on the same side of the balance as the weighed object.

    Proving that other combinations will not work is harder, but is not necessary.

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    posted by drwls
  2. You do whatever you think you need to. Only you can be you.


    "Shattered and broken i'm feeling hopeless within myself find the strength to harness the glowing light shining in the darkness like a full moon when the night is starless i cant give up i can win this the finish line is in sight the finish line is in sight because your not crushing my spirit"

    Be yourself, stick to your gut, be an inspiration to other people.

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    posted by Starless Night
  3. Spread the word "Starless Night" is spreading kind words of inspiration. I've seen him on 5 different Jishka Homework Help sights. Any one can be any thing.

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    posted by Random pepoles

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