Refrigeration systems for machines for making blended iced beverages make ice for use in the beverages and maintain beverage ingredients cold not only as the ingredients are stored in supply containers in the machine but also as they are delivered from the supply containers to a remote point of delivery at a beverage ingredient dispense station. Arrangements are disclosed in which a single refrigeration system makes ice and chills the beverage ingredients; in which a pair of refrigeration systems make ice and chill the beverage ingredients; in which a single refrigeration system makes ice and the ice is used to chill the beverage ingredients; and in which a single refrigeration system makes ice and melt water from the ice is used in chilling the beverage ingredients.