First, welcome to the neighborhood, Chantal! That is why I call it BoobTube! I graduated from high school in 1965, and for 25c, you could buy a pack of cigarettes or a gallon of gas. Chris
In coin collecting, condition is everything. If you found this 1971 quarter in circulation, it is likely worth only face value. It would have to be graded very high in Mint State to be worth anything. Chris
They made a lot of quarters in 1965. They are super common today, I get them all the time. You aren't receiving the correct information on You Tube. The type of quality coin that you need in 1965 or 1971 to be worth anything, you and I will never find in change.
To confuse the issue a bit, a few 1965 quarters were struck on silver planchets in error. They are valuable. But finding one in circulation would be like winning the lottery. Generally you can see the copper core on the edge from 1965 on.
If they were in Mint Beautiful Uncirculated (BU) condition they would be worth more than face value. Clad quarters from the 1960's in uncirculated condition were not saved in quantity by contemporary collectors as much of the focus was placed on saving silver quarters. As a result, while circulated clad quarters from the '60's are still generally easily encountered in the present-day, it's the ones in a high-grade of condition that are desirable and potentially valuable.
Welcome to Coin Talk, Chantal. You would be well served to avoid YouTube sites for numismatic knowledge — they traffic in misinformation and exaggerate the value of common coins. They do that because selling the dream of striking it rich with pocket change will get a lot more clicks than telling people a worn 1965 quarter is only worth 25 cents.
Yes, those two quarters are worth fifty cents or 4 bits if you like to use pirate talk. Welcome to CT.