If I line up all the bags in a row and consider the bags as bag 1, bag 2 and so on.
If I take 1 coin from bag one
and 2 coins from bag two
and 3 coins from bag three
and continue for all twenty bags
and pile them neatly on the scale being carefull not to mix them up
I will have twenty piles of coins from 1 coin to a pile of twenty coins
I will have 210 coins on the scale if they were all fake they will weigh 10% less than 210 onces or 189 onces. Now if I use the penny and find the actual weight is somewhere between 189.1 for bag one and 191 onces for bag twenty.
Let's say it weighs 190.9
I would subtract 189 from 19.9 and have 1.9 onces and multiply that by 10
The answer would be bag 19
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