Unless it's a Proof Coin, silver, or in brilliant uncirculated condition the answer is $.25. It's just not that old and tens of millions were minted. You often find quarters dating back to the 1960's and they just aren't that rare. You also didn't include a photo so how can I assess anything. read more
August 10, 2009 The 1984 Washington quarter was produced at 3 US mints: Philadelphia which is shown as 1984-P in this list, Denver which is shown as 1984-D in this list and San Francisco which is shown as 1984-S in this list. read more