They weigh the same.
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A kilogram is a measure of mass therefore a kilogram of lead and a kilogram of feathers have the same mass: one kilogram. They would, however, have different volumes and densities.
Since they both have a weight of 1kg one cannot be heavier than the other.
It is rather a trick question. People are thrown off by the feathers (light things) and nails (heavier things) but pound are pounds. The pound of feathers will most likely be larger in volume than the pound of nails.
1,000,000,000,000 nanograms are in one kilogram.
1/2 kg = .5 kg 7/8 kg = .875 kg 7/8 is larger than 1/2