Jack and Jill should have gone up the hill to fetch a pail of this iced tea. The light floral notes of jasmine and the sweetness of the simple syrup make a refreshing combination.
Bring 10 cups water to a boil in a large saucepan. Place tea bags in a large heatproof container. Add boiling water, and steep for 3 minutes. Remove tea bags. Let cool completely.
Meanwhile, bring sugar and remaining 1/2 cup water to a boil in a small saucepan, stirring, until sugar dissolves. Let cool completely.
Stir together tea and 3/4 cup simple syrup, plus more if needed, depending on desired sweetness. Refrigerate for at least 1 hour. Divide among ice-filled glasses.
Tea can be refrigerated for up to 2 days. Simple syrup can be refrigerated for up to 1 month.