Mashaal Masha
Energy per Gram of Typical Macronutrients
Macronutrient Food calories Kiljoules
Protein 4.0 16.7
Fat 9.0 37.7
Carbohydrate 4.0 16.7



The table above gives the typical amounts of energy per gram, expressed in both food calories and kiljoules, 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 $c$?
Difficulty: Hard
A: 

$f=20+\dfrac{4}{9}(p+c)$

B: 

$f=20-\dfrac{4}{9}(p+c)$

C: 

$f=20-\dfrac{4}{9}(p-c)$

D: 

$f=20+\dfrac{9}{4}(p+c)$

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