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Thanks scale

weigh scale

Remove 1 weight from the 1st bag, 2 weights from the 2nd bag , 3 weights from the 3rd bag etc.
Now weigh all those coins.
If all the bags weigh 16 ounces you will have 55 ounces (10+9+8+7+6+5+4+3+2+1).
Any amount in excess of the 55 ounces will determine which bag contains the 17 ounces
(two ounces over = bag #2 ,if it is 7 ounces over = bag #7 etc)

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