Studdy Solution
STEP 1
Assumptions1. A cup of whole milk contains16.58 grams of carbohydrate, Time left grams of fat, and1.89 grams of protein.
. The energy values for1 gram each of carbohydrates, fats, and proteins are4,9, and4 kilocalories respectively.
3. We need to find the total energy in kilocalories of3 cups of whole milk.
STEP 2
First, we need to find the energy content of each nutrient in a cup of milk. We can do this by multiplying the amount of each nutrient by its energy value.
Energycarbohydrate=AmountcarbohydratetimesEnergyvaluecarbohydrateEnergyfat=AmountfattimesEnergyvaluefatEnergyprotein=AmountproteintimesEnergyvalueprotein
STEP 3
Now, plug in the given values for the amount and energy value of each nutrient to calculate the energy content.
Energycarbohydrate=16.58gramstimeskilocalories/gramEnergyfat=Timeleftgramstimes9kilocalories/gramEnergyprotein=1.89gramstimeskilocalories/gram
STEP 4
Calculate the energy content of each nutrient.
Energycarbohydrate=16.58gramstimes4kilocalories/gram=66.32kilocaloriesEnergyfat=Timeleftgramstimes9kilocalories/gram=9∗TimeleftkilocaloriesEnergyprotein=1.89gramstimes4kilocalories/gram=7.56kilocalories
STEP 5
Now that we have the energy content of each nutrient, we can find the total energy content of a cup of milk. This is the sum of the energy content of all nutrients.
Energytotal=Energycarbohydrate+Energyfat+Energyprotein
STEP 6
Plug in the values for the energy content of each nutrient to calculate the total energy content.
Energytotal=66.32kilocalories+9∗Timeleftkilocalories+.56kilocalories
STEP 7
Calculate the total energy content of a cup of milk.
Energytotal=66.32kilocalories+9∗Timeleftkilocalories+7.56kilocalories=73.88+9∗Timeleftkilocalories
STEP 8
Now that we have the total energy content of a cup of milk, we can find the total energy content of3 cups of milk. This is the total energy content of a cup of milk multiplied by3.
Energy3cups=3timesEnergytotal
STEP 9
Plug in the value for the total energy content to calculate the total energy content of3 cups of milk.
Energy3cups=3times(73.88+9∗Timeleftkilocalories)
STEP 10
Calculate the total energy content of3 cups of milk.
Energy3cups=3times(73.88+9∗Timeleftkilocalories)=221.64+27∗TimeleftkilocaloriesThe total energy in kilocalories of3 cups of whole milk is 221.64+27∗Timeleft kilocalories.