Wash 6-8 ripe peaches under cool running water. Pit and dice them into small chunks.

In a saucepan, combine diced peaches, ½ cup granulated sugar, ½ cup water, and 1 tablespoon lemon juice. Heat over medium-low for 10-15 minutes.

Remove from heat and mash the peach mixture until smooth, then strain through a fine sieve.

In a small saucepan, combine 1 cup granulated sugar and 1 cup water. Heat until sugar dissolves and cool completely.

Juice 8-10 medium lemons until you have 1½ cups of fresh lemon juice.

In a large pitcher, mix the peach puree, simple syrup, and lemon juice. Add cold water to taste.

Chill the lemonade for at least 30 minutes before serving with ice, garnished with peach slices, lemon wedges, and mint sprigs.