QuestionIan's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . The total energy intake is3,000 kcal.
3. The remaining percentage of the diet is from Protein.
4. The energy from Protein can be400 kcal,500 kcal,600 kcal or700 kcal.

STEP 2

First, we need to calculate the total energy from Fat and Carbohydrates. We can do this by multiplying the total energy intake by the percentage of Fat and Carbohydrates.
$Energy_{Fat} = Total\, energy\, intake \\times Percentage\, of\, Fat$ $Energy_{Carbohydrates} = Total\, energy\, intake \\times Percentage\, of\, Carbohydrates$

STEP 3

Now, plug in the given values for the total energy intake and the percentages of Fat and Carbohydrates to calculate the energy from Fat and Carbohydrates.
$Energy_{Fat} =3,000\, kcal \\times30\%$ $Energy_{Carbohydrates} =3,000\, kcal \\times50\%$

STEP 4

Convert the percentages to decimal values.
$30\% =0.3$ $50\% =0.$ $Energy_{Fat} =3,000\, kcal \\times0.3$ $Energy_{Carbohydrates} =3,000\, kcal \\times0.$

STEP 5

Calculate the energy from Fat and Carbohydrates.
$Energy_{Fat} =3,000\, kcal \\times0.3 =900\, kcal$ $Energy_{Carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcal$

STEP 6

Now that we have the energy from Fat and Carbohydrates, we can find the energy from Protein. This is the total energy intake minus the energy from Fat and Carbohydrates.
$Energy_{Protein} = Total\, energy\, intake - Energy_{Fat} - Energy_{Carbohydrates}$

STEP 7

Plug in the values for the total energy intake, the energy from Fat and the energy from Carbohydrates to calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal$

STEP 8

Calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal =600\, kcal$ So, the correct answer is c) $600 \mathrm{kcal}$ from Protein.

Was this helpful?

QuestionIan's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . The total energy intake is3,000 kcal.
3. The remaining percentage of the diet is from Protein.
4. The energy from Protein can be400 kcal,500 kcal,600 kcal or700 kcal.

STEP 2

STEP 3

Now, plug in the given values for the total energy intake and the percentages of Fat and Carbohydrates to calculate the energy from Fat and Carbohydrates.
$Energy_{Fat} =3,000\, kcal \\times30\%$ $Energy_{Carbohydrates} =3,000\, kcal \\times50\%$

STEP 4

Convert the percentages to decimal values.
$30\% =0.3$ $50\% =0.$ $Energy_{Fat} =3,000\, kcal \\times0.3$ $Energy_{Carbohydrates} =3,000\, kcal \\times0.$

STEP 5

Calculate the energy from Fat and Carbohydrates.
$Energy_{Fat} =3,000\, kcal \\times0.3 =900\, kcal$ $Energy_{Carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcal$

STEP 6

Now that we have the energy from Fat and Carbohydrates, we can find the energy from Protein. This is the total energy intake minus the energy from Fat and Carbohydrates.
$Energy_{Protein} = Total\, energy\, intake - Energy_{Fat} - Energy_{Carbohydrates}$

STEP 7

Plug in the values for the total energy intake, the energy from Fat and the energy from Carbohydrates to calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal$

STEP 8

Calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal =600\, kcal$ So, the correct answer is c) $600 \mathrm{kcal}$ from Protein.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionIan's diet has 30%30\%30% Fat and 50%50\%50% Carbs in a total of 3,000kcal3,000 \mathrm{kcal}3,000kcal. How many kcal is he getting from Protein? a) 400kcal400 \mathrm{kcal}400kcal b) 500kcal500 \mathrm{kcal}500kcal c) 600kcal600 \mathrm{kcal}600kcal d) 700kcal700 \mathrm{kcal}700kcal

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . The total energy intake is3,000 kcal.3. The remaining percentage of the diet is from Protein.4. The energy from Protein can be400 kcal,500 kcal,600 kcal or700 kcal.

STEP 2

STEP 3

STEP 4

STEP 5

STEP 6

STEP 7

Plug in the values for the total energy intake, the energy from Fat and the energy from Carbohydrates to calculate the energy from Protein.EnergyProtein=3,000 kcal−900 kcal−1,500 kcalEnergy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcalEnergyProtein​=3,000kcal−900kcal−1,500kcal

STEP 8

Calculate the energy from Protein.EnergyProtein=3,000 kcal−900 kcal−1,500 kcal=600 kcalEnergy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal =600\, kcalEnergyProtein​=3,000kcal−900kcal−1,500kcal=600kcalSo, the correct answer is c) 600kcal600 \mathrm{kcal}600kcal from Protein.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionIan's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . The total energy intake is3,000 kcal.
3. The remaining percentage of the diet is from Protein.
4. The energy from Protein can be400 kcal,500 kcal,600 kcal or700 kcal.

Plug in the values for the total energy intake, the energy from Fat and the energy from Carbohydrates to calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal$

Calculate the energy from Protein.
$Energy_{Protein} =3,000\, kcal -900\, kcal -1,500\, kcal =600\, kcal$ So, the correct answer is c) $600 \mathrm{kcal}$ from Protein.