Question:

Ball Bearings Problem Solving?

Given 11 bins containing ball bearings, ten of which contain ball bearings that weigh an ounce a piece and the other bin containing ball bearings that weigh one and one tenth ounces a piece, determine in one reading on a numerical scale which bin contains the odd ball bearings.

Answer:

Put 1 bearing from the first bin, 2 bearings from the second bin, 3 bearings from the 3rd bin, ..., and 11 bearings from the 11th bin on the scale simultaneously. There will be 66 bearings on the scale. Record the total weight of the bearings in ounces as W. The number of the bin containing the overweight bearing will be given by N = 10(W-66)

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