No. The US never made gold quarters. For one thing, they'd be worth hundreds of dollars so it wouldn't make any financial sense to put them in circulation at 25¢ each!
What you have is a coin that was plated for one of those "special collectibles" sets sold on TV and in the backs of popular magazines. The coins underneath are worth exactly a quarter, the gold plating is worth only a few cents, the package is a couple of bucks. The rest of the $25 to $100 price covers nothing but advertising and hype.
That's not all the price covers. There is also a huge profit to the promoter.
NOT by the US Mint this junk is sold on TV an is gold plated with about 2 cents worth of gold.
Yes, but none of them are products of the US Mint. The copper-nickel quarters have been gold plated (some are only painted) by several companies that specialize in creating collectible items.
2002
The Mint has never made gold quarters. If you have a gold quarter then it has been plated which destroys the numismatic value of the coin. Its value is 25 cents plus the value of the little bit of gold they used to plate it. Some chemicals can cause the quarter to turn different colors. This also does not enhance the value of the coin.
No, they are worth no more than the metal (or face) value of the coin, the gold plating adds so little gold that it would cost more to de-plate the coin than the gold is worth. For example, a 1965 gold plated half dollar would be worth ~$4.50 in silver scrap just like a normal 1965 half dollar. A 2002 gold plated quarter would be worth just a quarter, just like a normal 2002 quarter.
Louisiana
There has never been a gold quarter issued by the U.S. Mint.
Blue, White, and Gold
Not a dime, a nickel. That's why is says FIVE CENTS on the back. (You DID look at the back, right?) Anyway, your coin is only worth 5¢ if it came from pocket change. Billions were minted. The design celebrates the Lewis and Clark expedition. They're not seen much in circulation because people saved them as curiosities.
Louisiana Culinary Institute was created in 2002.
It's just a quarter, spend it.
Gold and White.
2002
The Mississippi state quarter was minted in 2002.