Question

One diet uses a ratio of 9:6:5 for carbohydrates, protein, and fat. If the nutritionists are developing a diet that provides 450 calories from protein each day and based on the ratio above, _____(A) calories should come from carbohydrates and _____(B) calories should come from fat.

A) 675 calories; 375 calories
B) 600 calories; 500 calories
C) 300 calories; 225 calories
D) 450 calories; 225 calories

Answer 1

Based on the 9:6:5 ratio for carbohydrates, protein, and fat, when protein provides 450 calories, carbohydrates should provide 675 calories and fats should provide 375 calories.

Step-by-step explanation:

The student's question involves using a given ratio to determine the caloric content of carbohydrates and fats in a diet based on the calories provided by protein. Since the ratio given is 9:6:5 for carbohydrates, protein, and fat respectively and it is known that protein gives 450 calories, we can simply scale the ratio to find the caloric content for the other two macronutrients.

First, let's find the value of each 'part' in the ratio by dividing the number of protein calories by its ratio number. 450 calories divided by 6 (the protein ratio) equals 75 calories per 'part.' Then, we multiply the calories per 'part' by the ratio number for carbohydrates and fats to find the corresponding calories.

For carbohydrates: 9 parts * 75 calories/part = 675 calories.
For fats: 5 parts * 75 calories/part = 375 calories.

Therefore, the diet should provide 675 calories from carbohydrates and 375 calories from fat.