How much energy is produced if a person eats 50 g of digestible carbohydrate (not fiber) in a day? In this case, what percent of a 2200 Calorie diet would be digestible carbohydrate? Recall that carbohydrates provide four Calories of energy per gram consumed.

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Welcome back. Everyone. Considering a diet where a person eats 50 g of digestible carbohydrates and each gram of carbohydrate provides four calories of energy. What fraction of a 1800 calorie diet comprises these carbohydrates. First of all, we know that we have 50 g of carbohydrates. Let's call that c and we know that each gram of carbohydrate. So basically 1 g of carbohydrate provides four calories of energy. That's our conversion factor. We have 1800 calorie diet, right? So essentially what we're going to do is, first of all, identify the number of kilo calories coming from carbohydrates. How do we do that? Well, essentially we have 50 g of carbohydrates and we want to use our conversion factor. If we want to cancel out those grams of carbohydrates, then we are adding them in the denominator of the fraction. And since we want to get calories, we add those on top and we know that four calories correspond to 1 g of carbohydrates. Now, if we multiply 50 by four, we get 200 calories. Now, if we want to identify the fraction, well, our whole diet consists of 1800 calories. And our part which corresponds to carbohydrates, that's 200 calories. So the fraction F that we're looking for is simply the ratio between the part and the whole number. Our part is 200 calories in our whole diet consists of 1800 calories. And now we simply want to take this fraction and simplify it. Notice that we can first of all cancel out the two zeros for each number and this gives us two divided by 18. And now both the numerator and the denominator, they are divisible by two. So we get a one at the top and nine at the bottom and that would be our final answer. The required fraction is a 1/9. Thank you for watching.

How much energy is produced if a person eats 50 g of digestible carbohydrate (not fiber) in a day? In this case, what percent of a 2200 Calorie diet would be digestible carbohydrate? Recall that carbohydrates provide four Calories of energy per gram consumed.

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Key Concepts

Energy from Carbohydrates

Caloric Intake and Diet Composition

Calculating Percentages