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It depends on the year the coin was minted.

Quarters made since 1965 are copper clad with cupronickel, and weigh 5.67 gm each. Interestingly that's 0.2 US ounces so even though coins are measured in metric units, exactly 5 quarters weigh one US ounce.

From the 1870s to 1964, US quarters were made of 90% silver/10% copper and weighed 6.25 gm. A US ounce is 28.35 gm so doing the division works out to about 4.54 coins per ounce.

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