SOLUTION: Mike calculated that his daily in take of 2156 calories, four times as many calories were from carbohydrates as from protein and twice as many calories were from fat as from protei

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Question 1143939: Mike calculated that his daily in take of 2156 calories, four times as many calories were from carbohydrates as from protein and twice as many calories were from fat as from protein. How many calories were from carbohydrates?
Answer by math_helper(2461) About Me  (Show Source):
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Let C=Calories from Carbohydrates, P=Calories from Protein, F=Calories from Fat



We are given:

C = 4P

F = 2P

C+F+P = 2156



Substituting for C and F from the first two equations into the last equation:

4P + 2P + P = 2156

 7P = 2156 -->  P=308 Calories --> C=1232 Calories  and F=616 Calories



Calories from Carbohydrates = 1232





Note:  1 Calorie = 1000 calories = 1 kilocalorie  (when dealing with food, we are talking about kilocalories, or Calories with a capital C)