Mad Elf is a holiday beer that is 11.0% ABV. A 12 oz bottle of Mad Elf has 300 calories. The rest of the calories, other than alcohol, come from carbohydrates. Approximately how many grams of carbohydrates are in Mad Elf?
1.oz-25.35g
The Correct Answer and Explanation is :
To determine how many grams of carbohydrates are in Mad Elf, we need to break down the calories from alcohol and carbohydrates in the 12 oz bottle.
Step 1: Calculate the Calories from Alcohol
Mad Elf has an alcohol by volume (ABV) of 11.0%. This means that 11% of the total volume of the beer comes from alcohol. To calculate the volume of alcohol in the 12 oz bottle:
- 12 oz * 0.11 (11%) = 1.32 oz of alcohol.
Next, we calculate the number of calories contributed by alcohol. Alcohol provides approximately 7 calories per gram. The weight of the alcohol can be calculated from the volume:
- 1 oz of alcohol weighs about 25.35 grams (as given).
- 1.32 oz * 25.35g/oz = 33.5 grams of alcohol.
Now, calculate the calories from alcohol:
- 33.5 grams * 7 calories/gram = 234.5 calories.
Step 2: Calculate the Calories from Carbohydrates
The total calories in the beer are 300, so the remaining calories must come from carbohydrates:
- 300 total calories – 234.5 calories from alcohol = 65.5 calories from carbohydrates.
Since carbohydrates provide 4 calories per gram, we can now calculate the grams of carbohydrates:
- 65.5 calories / 4 calories/gram = 16.375 grams of carbohydrates.
Step 3: Conclusion
Therefore, a 12 oz bottle of Mad Elf contains approximately 16.4 grams of carbohydrates.
Let me generate an image to help visualize this calculation.
Here is the visual representation of Mad Elf beer’s nutritional breakdown, showing how the calories come from alcohol and carbohydrates. It highlights the 234.5 calories from alcohol and 65.5 calories from carbohydrates, with a clear diagram to help illustrate the relationship.
