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Mathematics 9 Online
OpenStudy (anonymous):

Youre presented with 10 bags of gold coins. You can take one for yourself. There is a catch, however, only one of the bags has real gold coins. Assume each fake gold coin weighs 10 grams, but a real gold coin 9 grams. You dont know how many coins there are in each bag. You have a balance with you and nothing more! And to make it worse, you can only make a single measurement with this balance. Lets say it blows up afterwards. How do you find which bag holds the real gold coins?

OpenStudy (anonymous):

I'm not 100% sure but I remember doing this question before. I think you have to weigh one coin from bag one, two from bag two, three from bag three, etc. :)

OpenStudy (anonymous):

O YA WHY?

OpenStudy (unklerhaukus):

take a different number from each bag and weight the lot ,

OpenStudy (anonymous):

Honestly I wasnt expecting the solution to come up that fast, lol. You party popper.

OpenStudy (unklerhaukus):

its such a great question though.

OpenStudy (anonymous):

Well if they were all real, the total weight would be 55g. If the fake coins were the ones from bag one, then the weight would be 1g over because there was one fake coin. If it was 2g over, the fake coins are from bag two because there would have been two fake coins, etc :)

OpenStudy (anonymous):

there we go, medals for everyone. well played gentlemen.

OpenStudy (anonymous):

gentlewoman* ;)

OpenStudy (anonymous):

i dont discriminate :)

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