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Question

Refer to the following information.
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 ?
Energy per Gram of Typical Macronutrients

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food

  1. f equals 20 plus 4 over 9 left parenthesis p plus c right parenthesis
  2. f equals 20 minus 4 over 9 left parenthesis p plus c right parenthesis
  3. straight f equals 20 minus 4 over 9 left parenthesis straight p minus straight c right parenthesis
  4. f equals 20 plus 9 over 4 left parenthesis p plus c right parenthesis

The correct answer is: f equals 20 minus 4 over 9 left parenthesis p plus c right parenthesis


    HINT – Form an equation with p , f and c plus total food calories given
    SOLUTION – It is given that Protein = p grams
    Fats = f grams
    Carbohydrate = c grams
    According to question, total food calories in granola bar = 180
    rightwards double arrow4 p + 9 f + 4 c = 180
    rightwards double arrow4 (p + c) + 9 f  = 180
    rightwards double arrow9 f  =  180 – 4 (p + c)
    rightwards double arrowf  = fraction numerator 180 space minus space 4 space left parenthesis p space plus space c right parenthesis over denominator 9 end fraction
    rightwards double arrowf  =  20 - 4 over 9 (p + c)
    So, option B is correct

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