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This confusion between volume and weight in traditional imperial measurement units has probably arisen because of the term "ounce". It is used to describe both a unit of weight and a unit of volume (the "fluid ounce"). But as already stated, these are not equivalent.
For water 1 cup = 8 fluid ounces = 8 ounces weight = 0.5 pounds.
So 2 cups water weighs 1 pound. But this only works for water.
Sugar is almost the same so 2 cups sugar weighs approximately 1 pound.
But for flour you have 4 cups per pound.
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