Studdy AI Logo
Math

QuestionFind the total energy in kilocalories of 3 cups of whole milk with 16.58 g carbs, 7.09 g fat, and 1.89 g protein per cup.

Studdy Solution

STEP 1

Assumptions1. A cup of whole milk contains16.58 grams of carbohydrate,7.09 grams of fat, and1.89 grams of protein. . The energy values for carbohydrates, fats, and proteins are4,9, and4 kilocalories per gram respectively.
3. We are asked to find the total energy content in kilocalories of3 cups of whole milk.

STEP 2

First, we need to calculate the energy content in one cup of milk. We can do this by multiplying the amount of each nutrient by its respective energy value.
Energycarbohydrate=Carbohydrate amounttimesEnergy valuecarbohydrateEnergy_{carbohydrate} = Carbohydrate\, amount \\times Energy\, value_{carbohydrate}Energyfat=Fat amounttimesEnergy valuefatEnergy_{fat} = Fat\, amount \\times Energy\, value_{fat}Energyprotein=Protein amounttimesEnergy valueproteinEnergy_{protein} = Protein\, amount \\times Energy\, value_{protein}

STEP 3

Now, plug in the given values for the amount of each nutrient and their respective energy values to calculate the energy content from each nutrient.
Energycarbohydrate=16.58 gramstimes kilocalories/gramEnergy_{carbohydrate} =16.58\, grams \\times\, kilocalories/gramEnergyfat=7.09 gramstimes9 kilocalories/gramEnergy_{fat} =7.09\, grams \\times9\, kilocalories/gramEnergyprotein=1.89 gramstimes kilocalories/gramEnergy_{protein} =1.89\, grams \\times\, kilocalories/gram

STEP 4

Calculate the energy content from each nutrient.
Energycarbohydrate=16.58 gramstimes4 kilocalories/gram=66.32 kilocaloriesEnergy_{carbohydrate} =16.58\, grams \\times4\, kilocalories/gram =66.32\, kilocaloriesEnergyfat=7.09 gramstimes9 kilocalories/gram=63.81 kilocaloriesEnergy_{fat} =7.09\, grams \\times9\, kilocalories/gram =63.81\, kilocaloriesEnergyprotein=1.89 gramstimes4 kilocalories/gram=7.56 kilocaloriesEnergy_{protein} =1.89\, grams \\times4\, kilocalories/gram =7.56\, kilocalories

STEP 5

Now that we have the energy content from each nutrient, we can find the total energy content in one cup of milk. This is done by adding the energy content from each nutrient.
Total energy=Energycarbohydrate+Energyfat+EnergyproteinTotal\, energy = Energy_{carbohydrate} + Energy_{fat} + Energy_{protein}

STEP 6

Plug in the values for the energy content from each nutrient to calculate the total energy content in one cup of milk.
Total energy=66.32 kilocalories+63.81 kilocalories+.56 kilocaloriesTotal\, energy =66.32\, kilocalories +63.81\, kilocalories +.56\, kilocalories

STEP 7

Calculate the total energy content in one cup of milk.
Total energy=66.32 kilocalories+63.81 kilocalories+7.56 kilocalories=137.69 kilocaloriesTotal\, energy =66.32\, kilocalories +63.81\, kilocalories +7.56\, kilocalories =137.69\, kilocalories

STEP 8

Now that we have the total energy content in one cup of milk, we can find the total energy content in3 cups of milk. This is done by multiplying the total energy content in one cup of milk by3.
Total energy3 cups=Total energy1 cuptimes3Total\, energy_{3\, cups} = Total\, energy_{1\, cup} \\times3

STEP 9

Plug in the value for the total energy content in one cup of milk to calculate the total energy content in3 cups of milk.
Total energy3 cups=137.69 kilocaloriestimes3Total\, energy_{3\, cups} =137.69\, kilocalories \\times3

STEP 10

Calculate the total energy content in3 cups of milk.
Total energy3 cups=137.69 kilocaloriestimes3=413.07 kilocaloriesTotal\, energy_{3\, cups} =137.69\, kilocalories \\times3 =413.07\, kilocaloriesThe total energy content in3 cups of whole milk is413.07 kilocalories.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord