Math

QuestionA fish serving has 50 g50 \mathrm{~g} protein and 4 g4 \mathrm{~g} fat. Calculate total kcal: 4kcal/g4 \mathrm{kcal/g} for protein and 9kcal/g9 \mathrm{kcal/g} for fat.

Studdy Solution

STEP 1

Assumptions1. The serving of fish contains50g of protein and4g of fat. . The caloric value of protein is4kcal/g.
3. The caloric value of fat is9kcal/g.
4. We need to find the total caloric value of the serving.

STEP 2

First, we need to find the caloric value of the protein in the serving. We can do this by multiplying the amount of protein by its caloric value.
Caloricvalueofprotein=AmountofproteintimesCaloricvaluepergramofproteinCaloric\, value\, of\, protein = Amount\, of\, protein \\times Caloric\, value\, per\, gram\, of\, protein

STEP 3

Now, plug in the given values for the amount of protein and its caloric value to calculate the caloric value of the protein.
Caloricvalueofprotein=50gtimeskcal/gCaloric\, value\, of\, protein =50g \\timeskcal/g

STEP 4

Calculate the caloric value of the protein.
Caloricvalueofprotein=50gtimes4kcal/g=200kcalCaloric\, value\, of\, protein =50g \\times4kcal/g =200kcal

STEP 5

Next, we need to find the caloric value of the fat in the serving. We can do this by multiplying the amount of fat by its caloric value.
Caloricvalueoffat=AmountoffattimesCaloricvaluepergramoffatCaloric\, value\, of\, fat = Amount\, of\, fat \\times Caloric\, value\, per\, gram\, of\, fat

STEP 6

Now, plug in the given values for the amount of fat and its caloric value to calculate the caloric value of the fat.
Caloricvalueoffat=4gtimes9kcal/gCaloric\, value\, of\, fat =4g \\times9kcal/g

STEP 7

Calculate the caloric value of the fat.
Caloricvalueoffat=4gtimes9kcal/g=36kcalCaloric\, value\, of\, fat =4g \\times9kcal/g =36kcal

STEP 8

Now that we have the caloric values of the protein and the fat, we can find the total caloric value of the serving. This is done by adding the caloric values of the protein and the fat.
Totalcaloricvalue=Caloricvalueofprotein+CaloricvalueoffatTotal\, caloric\, value = Caloric\, value\, of\, protein + Caloric\, value\, of\, fat

STEP 9

Plug in the values for the caloric value of the protein and the fat to calculate the total caloric value.
Totalcaloricvalue=200kcal+36kcalTotal\, caloric\, value =200kcal +36kcal

STEP 10

Calculate the total caloric value of the serving.
Totalcaloricvalue=200kcal+36kcal=236kcalTotal\, caloric\, value =200kcal +36kcal =236kcalThe total caloric value of the serving is236kcal. However, the problem asks for the answer to2 significant figures.

STEP 11

Round the total caloric value to significant figures.
Totalcaloricvalue=240kcalTotal\, caloric\, value =240kcalThe serving contains240kcal to significant figures.

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