Final answer:
The three rums offered with the mojito are white rum, dark rum, and spiced rum, with white rum being the traditional choice due to its compatibility with the other mojito ingredients.
Step-by-step explanation:
The three types of rum that are commonly offered with a mojito are white rum, dark rum, and spiced rum. The classic mojito cocktail primarily uses white rum due to its light and crisp flavor which blends well with the other ingredients such as lime juice, mint, sugar, and soda water. Although white rum is the traditional choice, some variations of the mojito may use dark rum for a deeper flavor, or spiced rum for a unique twist with additional flavors like vanilla, cinnamon, or nutmeg.