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QuestionCalculate the total calories in a serving with 2 g2 \mathrm{~g} carbs, 16 g16 \mathrm{~g} protein, 6 g6 \mathrm{~g} fat. Options: 96, 116, 126, 136.

Studdy Solution

STEP 1

Assumptions1. The serving of food containsg of carbohydrate. The serving of food contains16g of protein3. The serving of food contains6g of fat4. The serving of food containsmcg of vitamin B125. The serving of food contains60mg of iron6. The energy provided by1g of carbohydrate is4kcal7. The energy provided by1g of protein is4kcal8. The energy provided by1g of fat is9kcal9. The energy provided by vitamin B12 and iron is negligible and can be ignored in this calculation

STEP 2

First, we need to find the energy provided by the carbohydrates. We can do this by multiplying the amount of carbohydrates by the energy provided by1g of carbohydrate.
Energycarbohydrate=AmountcarbohydratetimesEnergyper gram of carbohydrateEnergy_{carbohydrate} = Amount_{carbohydrate} \\times Energy_{per\, gram\, of\, carbohydrate}

STEP 3

Now, plug in the given values for the amount of carbohydrate and the energy provided by1g of carbohydrate to calculate the energy provided by the carbohydrates.
Energycarbohydrate=2gtimeskcal/gEnergy_{carbohydrate} =2g \\timeskcal/g

STEP 4

Calculate the energy provided by the carbohydrates.
Energycarbohydrate=2gtimes4kcal/g=8kcalEnergy_{carbohydrate} =2g \\times4kcal/g =8kcal

STEP 5

Next, we need to find the energy provided by the protein. We can do this by multiplying the amount of protein by the energy provided by1g of protein.
Energyprotein=AmountproteintimesEnergyper gram of proteinEnergy_{protein} = Amount_{protein} \\times Energy_{per\, gram\, of\, protein}

STEP 6

Now, plug in the given values for the amount of protein and the energy provided by1g of protein to calculate the energy provided by the protein.
Energyprotein=16gtimes4kcal/gEnergy_{protein} =16g \\times4kcal/g

STEP 7

Calculate the energy provided by the protein.
Energyprotein=16gtimes4kcal/g=64kcalEnergy_{protein} =16g \\times4kcal/g =64kcal

STEP 8

Next, we need to find the energy provided by the fat. We can do this by multiplying the amount of fat by the energy provided by1g of fat.
Energyfat=AmountfattimesEnergyper gram of fatEnergy_{fat} = Amount_{fat} \\times Energy_{per\, gram\, of\, fat}

STEP 9

Now, plug in the given values for the amount of fat and the energy provided byg of fat to calculate the energy provided by the fat.
Energyfat=6gtimes9kcal/gEnergy_{fat} =6g \\times9kcal/g

STEP 10

Calculate the energy provided by the fat.
Energyfat=6gtimes9kcal/g=54kcalEnergy_{fat} =6g \\times9kcal/g =54kcal

STEP 11

Now that we have the energy provided by the carbohydrates, protein, and fat, we can add these together to find the total energy provided by the serving of food.
Total energy=Energycarbohydrate+Energyprotein+EnergyfatTotal\, energy = Energy_{carbohydrate} + Energy_{protein} + Energy_{fat}

STEP 12

Plug in the values for the energy provided by the carbohydrates, protein, and fat to calculate the total energy.
Total energy=8kcal+64kcal+54kcalTotal\, energy =8kcal +64kcal +54kcal

STEP 13

Calculate the total energy provided by the serving of food.
Total energy=8kcal+64kcal+54kcal=126kcalTotal\, energy =8kcal +64kcal +54kcal =126kcalThe serving of food provides126 kcal per serving.

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