Reserving the beets, drain the juice of 3 cans of sliced beets into a 2 quart glass jar(that has a lid to go with it). Add 1-3 tablespoons of granulated sugar. Stir until the sugar is dissolved.
Dump the beets from 2 of the reserved cans of beets into the sweetened beet juice. Put at least 6* hard-cooked, shelled eggs into the 2-quart jar. Pour enough white vinegar into the jar to cover the beets and the eggs.
Before placing the jar in the refrigerator, make sure that the lid is securely closed
. [the vinegar smell will attack your nose the next time you open the 'frig.
Let the mixture marinate in the refrigerator for 18-24 hours. The longer they sit, the more purpler the eggs will get. If you don't like the beets very sour, they would be okay to be taken out of the brine 8 hours later.
*If you really
like the purple eggs, don't put the beets in the jar. You could use the beets to make Harvard Beets. (another yummy!)