Gold or Feathers

Number Theory Level pending

Does a pound of gold or a pound of feathers weight more?

Same Weight Pound of Gold Pound of Feathers

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1 solution

Lew Sterling Jr
Jan 26, 2015

The feathers. A pound of feathers is measured in avoirdupois weight, in which one pound equals 16 ounces. Precious metals are measured in troy weight, in which one pound equals 12 ounces.

However, the ounces are not measured in the same way. In avoirdupois weight, one ounce = 437.5 grains. In troy weight, one ounce = 480 grains.

So, one pound of feathers weighs (16)x(437.5 grains) = 7,000 grains. One pound of gold weighs (12)x(480 grains) = 5,760 grains.

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