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The table above gives the typical amounts of energy per gr...
SAT-math-test SAT math
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The table above 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 ?

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)

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judziy
Asked by judziyrep:1.9K
University of Benin Nigeria
30 May 2020

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peter
Peter answeredrep:1.7K
University of Lagos Nigeria
18 August 2020
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There are 4 food calories per gram of protein, 9 food calories per gram of fat and 4 food calories per gram of carbohydrate

If 180 food calories in a granola bar comes entirely from p grams of protein, f grams of fat, and c grams of carbohydrate,

180 = 4p + 9f + 4c

9f = 180 - 4p - 4c

9f = 180 - 4(p + c)

divide through by 9

f = 20 - 4/9 (p + c)

Ans B

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