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According to the United States mint: a quarter has a mass of 5.670 g, which is 0.20 ounces.

This will be lower over time as the coin wears.

Quarters prior to 1964 are 90% silver and weighed 6.25 gm, so there are about 4.54 in an ounce.

Quarters made since 1965 are copper-nickel, without any silver.

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