The real recipe for the Long Island Iced Tea as it's traditionally made in bars and clubs in North America is a combination of 5 alcohols - vodka, gin, rum, tequila and triple sec.
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The origin of the Long Island Iced Tea is a debatable subject which has been covered well on the Internet. If you're curious about the origin of the Long Island Iced Tea, check out Wikipedia's article on the subject.
It is agreed, however, that the Long Island Iced Tea doesn't actually contain any tea nor does it taste anything like your Mom's homemade Iced Tea. It was named Long Island Iced Tea as its colour resembles that of Iced Tea.
The Long Island Ice Tea Recipe
1/2 oz vodka
1/2 oz gin
1/2 oz rum
1/2 oz tequila
1/2 oz triple sec
Add lime bar mix, top with splash of cola. Garnish with a lemon.
The Long Island Ice Tea is a great tequila cocktail that's sweet and packs a punch. If you plan on drinking these on a patio somewhere, make sure you find out how much alcohol is in each drink. If the bar is using Long Island Iced Tea mix, they are likely just making it a standard 1-1.5oz cocktail.
For more drink recipes, check out: http://www.youtube.com/playlist?list=PLC161F6BC96EF1606
Long Island Iced Tea Recipe | How to Make Long Island Iced Tea