A nutrition bar includes fat and protein in the ratio of 3:5. There are a total of 24 grams of fat and protein combined in the bar. If there are 9 calories per gram of fat and 4 calories per gram of protein, how many calories from fat and how many calories from protein are in the nutrition bar?

Let, amount of fat is 3x .

So, amount of protein is 5x .

It is given that sum of fat and protein is 24 grams.

3x + 5x = 24

8x = 24

x = 3 grams

Amount of fat is, F = 3×3 = 9 grams .

Amount of protein is, P = 5×3 = 15 grams.

Calories in fat, F = 9×9 = 81 calories .

Calories in protein, P = 15×4 = 90 calories .

Therefore, calories from fat and protein is 81 and 90 respectively.

Hence, this is the required solution.

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