Answer :
1) List the known and unknown quantities.
Calories per day: 2.0*10^3 kcal/day diet.
Type of nutrients and percentages:
Protein: 35.%
Carbohydrate: 45.%
Lipids: 20.%
2) 4-9-4 rule.
When talking about food calories, this rule states that 1 g of protein equals 4 kcal, 1 g of carbohydrate equals 4 kcal, and 1 g of lipids equals 9 kcal.
3) Grams of protein.
3.1-kcal from protein.
[tex]kcal\text{ }protein=2.0*10^3*\frac{35}{100}=700\text{ }kcal[/tex]3.2-Convert kcal of protein to grams of protein
[tex]g\text{ }protein=700\text{ }kcal\text{ }protein*\frac{1\text{ }g\text{ }protein}{4\text{ }kcal}=175\text{ }g\text{ }protein[/tex]4) Grams of carbohydrates.
4.1-kcal from carbohydrates.
[tex]kcal\text{ }carbohydrates=2.0*10^3\text{ }kcal*\frac{45}{100}=900\text{ }kcal\text{ }carbohydrates[/tex]4.2-Convert kcal of carbohydrates to grams of carbohydrates.
[tex]g\text{ }carbohydrates=900\text{ }kcal\text{ }carbohydrates*\frac{1\text{ }g\text{ }carbohydrates}{4\text{ }kcal}=225\text{ }g\text{ }carbohydrates[/tex]5) Grams of lipids.
5.1-kcal from lipids.
[tex]kcal\text{ }lipids=2.0*10^3\text{ }kcal*\frac{20}{100}=400\text{ }kcal\text{ }lipids[/tex]5.2-Convert kcal of lipids to grams of lipids.
[tex]g\text{ }lipids=400\text{ }kcal\text{ }lipids*\frac{1\text{ }g\text{ }lipid}{9\text{ }kcal}=44.44\text{ }g\text{ }lipids[/tex]How many grams of each type of nutrient?
Protein: 175 g
Carbohydrates: 225 g
Lipids: 44.4 g
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