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nataly862011 [7]
3 years ago
9

The Olympic swimmer, Michael Phelps, required 10,000 calories during training. He needed 30% protein, 50% carbohydrates and 20%

fat. How many calories did he need for each nutrient?
1 gram of carbs= 4 calories, 1 gram of protein=4 calories, 1 gram of fat= 9 calories.
Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Answer:

750 grams of protein, 222.22 of fat, and 1,250 of carbs.

Step-by-step explanation:

3,000 calories from protein, 2,000 from fat, and 5,000 from carbs.

3000 / 4 = 750 grams of protein.

2,000 / 9 = 222.22 grams of fat.

5,000 / 4 = 1,250 grams of carbs.

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Step-by-step explanation:

Given the system of equations

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\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12

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\underline{6x-3y=-12}

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so the system of equations becomes

\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}

solving 5y = 10 for y

5y=10

Divide both sides by 5

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simplify

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Therefore, the solution to the system of equations be:

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