A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?
First, calculate the total calories from carbohydrates and fat:
Total Calories = 3,800
Calories from carbohydrates and fat = 60% of 3,800
Calories from carbohydrates and fat = 0.6 * 3,800
Calories from carbohydrates and fat = 2,280
Next, calculate the total grams of protein, carbohydrates, and fat:
Total grams of protein, carbohydrates, and fat = 650
Let x be the grams of fat in the diet:
4 * grams of protein + 4 * grams of carbohydrates + 9 * x = 2,280
4 * 650 + 4 * 650 + 9x = 2,280
2,600 + 2,600 + 9x = 2,280
5,200 + 9x = 2,280
9x = 2,280 - 5,200
9x = -2,920
x = -2,920 / 9
x = -324.44
Therefore, the daily grams of fat in the diet will be approximately 324.44 grams.