Answer: 20.25 carb per gram
Step-by-step explanation:
Given: 1 gram fat = 9 calories, 1 carb per gram =4 calories.
To convert: 9 grams of fat to carbs.
Consider 1 gram fat = 9 calories
i.e. 1 calorie = [tex]\frac19[/tex] gram fat [divide both sides by 9]
1 carb per gram =4 calories.
= 4 x ( 1 calorie)
= [tex]4\times\frac19[/tex] gram fat
= [tex]\frac49[/tex] gram fat
Now, 1 gram fat = [tex]\frac94[/tex]carb per gram
thus,
9 grams of fat = [tex]9\times\frac94[/tex] carb per gram
=[tex]\frac{81}{4}[/tex] carb per gram
= 20.25 carb per gram
Hence, 9 grams of fat = 20.25 carb per gram
