Wash the beets. In a large stockpot fill with the beets and enough water to cover. Bring to a boil; cook until tender. This should take about 15 minutes depending on the size of the beets. When tender, place the beets in cold water, remove the skins and when cool cut into thin slices.
Sterilize jars and lids by immersing in boiling water for at least 10 minutes. Fill each jar with beets and ½ tsp. of salt in each pint.
In a large saucepan, combine the sugar and vinegar. Bring to a boil and stir until the sugar is dissolved. (equal parts sugar and vinegar). If you have more beets, just make more brine and add ½ tsp of salt to each pint. Pour the hot brine over the beets in the jars, and seal with the lids.
Sealing the Jars
Place a rack in the bottom of a large stockpot and fill halfway with hot water. Bring to a simmer, then carefully lower the jars into the pot using a holder or at least a hot pad. Leave a 2-inch space between the jars. Pour in more boiling water if necessary until the water level is at least 1 inch above the tops of the jars. Bring the water to a full boil, cover the pot, and process for 10 minutes.
Carefully remove jars from stockpot and lace on a counter that has a towel laid out. Let sit to cool. While the jars cool, they will begin to make a popping sound as the lids begin to seal. When cool, push the center of each lid to make sure that it is sealed. If the lid makes a clicking noise or has any give at all, it is not sealed. The jars that did not seal should be refrigerated and eaten within 3-4 months.