Almost exactly 5 1/2 uncirculated quarters. 5.53 to be exact. circulated coins will be slightly lighter due to metal loss although this is generally minuscule.
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One 1964 or earlier silver quarter= 0.1808 of an ounce of silver. So, it takes about 6 90% silver quarters to make one ounce of silver. 6 silver quarters= 1.0851 ounces.
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A quarter weighs 5.67 grams. So five clad quarters would equal one standard ounce.
For modern U.S. quarters like you find in change, none. They don't contain any silver - they're made of copper and nickel. For quarters dated 1964 and earlier, each one contains 5.625 gm of pure silver, almost exactly 1/5 of an ounce. So 5 old quarters contain a total of 1 oz of silver.
U.S. quarters minted before 1965 weighed 6.25 grams and contain 90% silver, which comes out to 5.625 grams of silver per coin. One ounce is about 28.35 grams, so it would take five quarters to get one ounce (5.04 coins, to be more exact).