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QuestionA meal has 75g Carbs, 20g Protein, and 605 total calories. Find grams of Fat. Options: a) 15 b) 25 c) 35 d) 40.

Studdy Solution

STEP 1

Assumptions1. The meal provides75 grams of Carbohydrates. The meal provides20 grams of Protein3. The total calories of the meal is6054. The caloric values of Carbohydrates, Protein, and Fat are4,4, and9 calories per gram respectively.

STEP 2

First, we need to find the total calories provided by the Carbohydrates and Protein. We can do this by multiplying the grams of each by their respective caloric values.
CaloriesCarbohydrates=CarbohydratesgramstimesCaloric valueCarbohydratesCalories_{Carbohydrates} = Carbohydrates_{grams} \\times Caloric\, value_{Carbohydrates}CaloriesProtein=ProteingramstimesCaloric valueProteinCalories_{Protein} = Protein_{grams} \\times Caloric\, value_{Protein}

STEP 3

Now, plug in the given values for the grams of Carbohydrates and Protein, and their caloric values to calculate the calories.
CaloriesCarbohydrates=75gtimescal/gCalories_{Carbohydrates} =75g \\timescal/gCaloriesProtein=20gtimescal/gCalories_{Protein} =20g \\timescal/g

STEP 4

Calculate the total calories provided by the Carbohydrates and Protein.
CaloriesCarbohydrates=75gtimes4cal/g=300calCalories_{Carbohydrates} =75g \\times4cal/g =300calCaloriesProtein=20gtimes4cal/g=80calCalories_{Protein} =20g \\times4cal/g =80cal

STEP 5

Now that we have the calories provided by the Carbohydrates and Protein, we can find the calories provided by the Fat. This can be found by subtracting the calories from Carbohydrates and Protein from the total calories.
CaloriesFat=Total calories−CaloriesCarbohydrates−CaloriesProteinCalories_{Fat} = Total\, calories - Calories_{Carbohydrates} - Calories_{Protein}

STEP 6

Plug in the values for the total calories, and the calories from Carbohydrates and Protein to calculate the calories from Fat.
CaloriesFat=605cal−300cal−80calCalories_{Fat} =605cal -300cal -80cal

STEP 7

Calculate the calories provided by the Fat.
CaloriesFat=605cal−300cal−80cal=225calCalories_{Fat} =605cal -300cal -80cal =225cal

STEP 8

Now that we have the calories provided by the Fat, we can find the grams of Fat in the meal. This can be found by dividing the calories from Fat by the caloric value of Fat.
Fatgrams=CaloriesFat/Caloric valueFatFat_{grams} = Calories_{Fat} / Caloric\, value_{Fat}

STEP 9

Plug in the values for the calories from Fat and the caloric value of Fat to calculate the grams of Fat.
Fatgrams=225cal/9cal/gFat_{grams} =225cal /9cal/g

STEP 10

Calculate the grams of Fat in the meal.
Fatgrams=225cal/9cal/g=25gFat_{grams} =225cal /9cal/g =25gThe meal contains25 grams of Fat.

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