The table gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food.If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c?
Correct answer: B. f = 20 - 4/9 (p + c)
- A. f = 20 + 4/9 (p + c)
- B. f = 20 - 4/9 (p + c)
- C. f = 20 - 4/9 (p - c)
- D. f = 20 + 9/4 (p + c)
Explanation
Choice B is correct. It is given that there are 4.0 food calories per gram of protein, 9.0 food calories per gram of fat, and 4.0 food calories per gram of carbohydrate. If 180 food calories in a granola bar came from p grams of protein, f grams of fat, and c grams of carbohydrate, then the situation can be represented by the equation 180 = 4p + 9f + 4c. The equation can then be rewritten in terms of f by subtracting 4p and 4c from both sides of the equation and then dividing both sides of the equation by 9. The result is the equation f = 20 - 4/9 (p + c).
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