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Bring 3 cups of water to a boil in a medium saucepan.
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Remove from heat and add the tea bags. Let steep for 10 minutes.
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In a separate saucepan, combine the raspberries, sugar, and 1 cup of water. Simmer over medium heat until the raspberries soften and release their juices.
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Strain the raspberry mixture through a fine mesh strainer to remove the seeds.
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Remove the tea bags and pour the tea into a large pitcher.
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Add the raspberry syrup, lemon juice, and remaining 2 cups of cold water. Stir well.
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Refrigerate until chilled.
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Serve over ice and garnish with fresh raspberries, lemon slices, and mint if desired.