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?

Respuesta :

The bottle contains 9.36 g of carbohydrates.

We have,

12 oz bottle contains 300 calories

We know, 1 oz = 23.35 g

12 oz = 12 * 23.35 g =280.2 g of bottel

Alcohol content = 11 %

So, the total number of alcohol in the bottle is [tex]\frac{11}{100} *280.2 = 30.8 g[/tex]

So, the bottle contains 30.8 g of alcohol.

1 gram of alcohol 7 cal of energy,

So, 30.8 g of alcohol = 7 * 30.8 cal of energy

                                  = 215.7 cal of energy

So, out of a total of 300 calories of mad elf, 215.7 calories come from alcohol.

So, (300-215.7 ) = 84.3 calories come from carbohydrates.

Each gram of carbohydrate produces 9 calories of energy.

9 calories of energy from 1 gram of carbohydrate,

1 calorie of energy from 1/9 of carbohydrate.

So, 84.3 calories from [tex]\frac{1}{9}*84.3 = 9.36 g[/tex]

Hence, the bottle contains 9.36 g of carbohydrates.

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