A 1.5 ounce shot has 100 calories in it. However, most people mix rum with coke. The coke has about 330ml of coke has 139 calories. So each rum and Coke is 239 calories. Remember rum is made from sugar cane so the saturated fat content is high. Also are you talking about white light or dark rum? Light and dark rum are higher in calorie content do to the fact that more sugar is burned in the drink to give it the darker color. I suggest you Atkins diet foods through this you get more results about what can you eat on the Atkins diet .