Warm up the lime juice and sugar in a small pot over medium heat until the sugar dissolves. Remove from the heat and allow to cool.
Put the lime, orange juice, strawberries, tequila, and 1 cup of ice in a blender. Blend at high speed until obtaining a soft puree. Add as much ice as you wish and mix in.
Moisten the rim of the glass with lime juice and dip the rim into salt or sugar, if you wish.
This recipe can be adapted to taste. Add more fruit, ice, or sugar as you desire.