Albuquerque-Style Margaritas

1 lime, cut into wedges
Coarse or kosher salt
1 (6 ounce) can frozen lime concentrate
3/4 cup tequila
6 tablespoons Triple Sec
1 (12 ounce) can lemon-lime or grapefruit soda
3 to 4 cup ice cubes
Lime twist for garnish
Lime peel for garnish

Rub rim of each cocktail glass with lime wedge; swirl glass in salt to coat rim. Combine half of each of the remaining ingredients, except garnishes, in blender container; blend until ice is finely chopped and mixture is slushy. Pour into salt-rimmed glasses. Repeat with remaining ingredients. Garnish, if desired.