For the pickled eggs I used:
2 cups of vinegar
1 cup of water
1 teaspoon of salt
1 tablespoon of sugar
red food coloring
I dissolved the salt and sugar in the water and vinegar over medium heat. I added red food coloring until the mixture turned my desired shade of red. I allowed the mixture to cool and poured it over the hard-boiled eggs in the jar.
I placed the jar in the refrigerator to allow the eggs to turn red.
Here's a picture of the finished product: