No. What you have is made privately by a company that plates ordinary coins with a small amount of gold and sells them as so-called "collectibles" at many times face value. You can find ads for these items in newspapers and magazines. They look nice but have very little resale or collectible value.
If you think about it for a minute, among all the goofy things the government might do, minting a quarter out of 50 or 100 bucks worth of gold and selling it for 25¢ isn't one of them.
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1 Quarter=25 Pennies 1 Quarter=5 Nickels 1 Quarter=2 Dimes and 1 Nickel 1 Quarter=1 Dime and 15 Pennies 1 Quarter=3 Nickels and 1 Dime There are other combinations but those are some. These are some worldwide equivalencies. 1 Quarter=.2470325 of the Canadian Dollar 1 Quarter=.1990075 of the Euro 1 Quarter=.1574 of the British Pound 1 Quarter=1.52034 of the Egyptian Pound 1 Quarter=149.75875 of the Rwandan Franc 1 Quarter=.0001475 of Gold (oz.) 1 Quarter=.00016 of Platinum (oz.) (The worldwide equivalencies are from September 5, 2012)
None of the State Quarters issued for circulation have more than face value.
A size of a gram of rice is different from a gram of gold or water or any other substance.
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.