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The problem here is that we are trying to compare measurements of two different properties - weight and volume. Dry ounces are units of weight and cups are units of volume. The relationship between the two is the density of the material in question. If you know what it is you are measuring and its density (weight per unit of volume), you can determine how much a certain volume (one cup) weighs (dry ounce).

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Q: Dry oz per cup
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