
Combine the ¼ cup salt and the sugar on a small plate. Run a wedge of grapefruit around the rim of four (10-ounce) glasses to moisten. Lightly dip the rims in the sugar mixture and set aside to dry.
Meanwhile, combine the grapefruit juice, tequila, lime juice, simple syrup, and a pinch of salt in a pitcher and stir to blend. Fill a cocktail shaker half full with ice and pour in the cocktail mixture (you may have to do this in batches). Shake for a full 30 seconds to chill and slightly dilute the cocktail. Pour into two of the prepared glasses, add a few ice cubes and a wedge of grapefruit, and serve ice cold. Repeat with the remaining mixture and glasses.
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