Slushy margaritas are just one more thing you can throw together in your ice cream maker. You can even make and chill the sweetened tequila-lime base ahead of time so that your cocktails churn up more quickly.
Combine the sugar and 1/3 cup water in a small saucepan. Cook over low heat, stirring, until the sugar dissolves, about 5 minutes. Let cool completely.
Whisk together the tequila, lime juice, cooled sugar syrup, orange liqueur and 1 cup cold water in a medium bowl. Freeze until slushy in an ice cream maker according to the manufacturer's instructions, about 45 minutes (see Cook's Note). Transfer the frozen margaritas to a chilled pitcher. Store in the freezer until ready to serve.
Fill a small plate with an even layer of salt. Moisten the rims of 4 chilled rocks or wine glasses and press into the salt to rim the edges. Divide the margaritas among the glasses. Serve with lime wedges.
Freezing time will vary depending on your ice cream maker.
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