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)   (Show Source): You can put this solution on YOUR website!

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)


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