I have a tough math riddle i need help with!?!


Question: The king has a challenge for you. he gives you ten bags each holding 50 gold coins. real gold coins weigh exactly 30 grams. however one bag is filled with fake coins, which weighs 27 grams. The king gives you a gram scale (not a balance scale) to use. you need to identify the bag of fakes, but you only get to use the scale ONCE. how do you figure out which is fake?

please, any help would be GREATLY apprecieated.
thanks.


Answers: The king has a challenge for you. he gives you ten bags each holding 50 gold coins. real gold coins weigh exactly 30 grams. however one bag is filled with fake coins, which weighs 27 grams. The king gives you a gram scale (not a balance scale) to use. you need to identify the bag of fakes, but you only get to use the scale ONCE. how do you figure out which is fake?

please, any help would be GREATLY apprecieated.
thanks.

put the bags in a line.
take 1 coin from the 1st bag
2 from the 2nd
3 from the 3rd etc
so once you've done that you have 55 coins on the scale which should 1650grams.
you then do a weighing and say
the total weighing is 1641 grams, then you have weighed 3 fake coins, so the fake bag is bag number 3.
hope this helped!! :)



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