One gram of fat contains 180% of the calories of a gram of a carbohydrate. How many more calories are there in 8 grams of fat than there are in 8 grams of carbohydrate?
Responses
A 0.23
B 1.44
C 14.4
D 23.3
E 1440
To solve this problem, we first need to calculate the number of calories in 1 gram of fat and 1 gram of carbohydrate.
Let x be the number of calories in 1 gram of carbohydrate.
Then, 1 gram of fat contains 180% of x calories, which can be written as 1.8x calories.
Now, we can calculate the number of calories in 8 grams of fat and 8 grams of carbohydrate.
8 grams of carbohydrate contain 8x calories.
8 grams of fat contain 8 * 1.8x = 14.4x calories.
To find the difference in calories, we subtract the number of calories in 8 grams of carbohydrate from the number of calories in 8 grams of fat:
14.4x - 8x = 6.4x
Since the value of x is not given, we cannot calculate the exact value of 6.4x. Therefore, the answer cannot be determined and the correct option is not given.