Allison plans to go on a diet and exercise four days a week to improve her health. Her fitness trainer recommends a specific ratio for carbohydrates, fiber and protein. The ratio suggested by her trainer was 3:4:7 for carbohydrates, fiber and protein. If Allison plans to digest 30 grams of fiber per day, find the number of grams that should come from carbohydrates(C) and protein(P).
A) C = 22.5g, P = 33g
B) C = 22.5g, P = 52.5g
C) C = 30g, P = 52.5g
D) C = 24g, P = 56g​

Respuesta :

Answer:

B

Step-by-step explanation:

This is just a matter of ratios.

Our first ratio is given. It is

3 carbs for every 4 fibers for every 7 protein.

Now, we just need to see what would happen if we replaced the fiber with 30!

Think about it this way. What do you need to do to get from 4 fibers(initial ratio) to 30 fibers? You multiply by 7.5

Now, since this is a ratio, everything must be proportional.

This given, we need to now multiply the carbs and the protein by 7.5, to make the ratio equal.

3*7.5=22.5

7*7.5=52.5

Final answer is now the new ratio:

22.5 carbs: 30 fibers: 52.5 protein.

If you simplify these, you will get right back to 3:4:7!

This is why the answer is B.

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