QuestionIan's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . He is eating a total of3,000 kcal.
3. The energy content of carbohydrates is4 kcal/g.

STEP 2

First, we need to find the total kcal from carbohydrates in Ian's diet. We can do this by multiplying the total kcal by the percentage of carbohydrates.
$kcal_{carbohydrates} = Total\, kcal \\times Percentage\, of\, carbohydrates$

STEP 3

Now, plug in the given values for the total kcal and the percentage of carbohydrates to calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times50\%$

STEP 4

Convert the percentage to a decimal value.
$50\% =0.$ $kcal_{carbohydrates} =3,000\, kcal \\times0.$

STEP 5

Calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcal$

STEP 6

Now that we have the kcal from carbohydrates, we can find the total grams of carbohydrates Ian is eating. We can do this by dividing the kcal from carbohydrates by the energy content of carbohydrates.
$grams_{carbohydrates} = kcal_{carbohydrates} / Energy\, content\, of\, carbohydrates$

STEP 7

Plug in the values for the kcal from carbohydrates and the energy content of carbohydrates to calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g$

STEP 8

Calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g =375\, g$ Ian is eating375 grams of carbohydrates, so the correct answer is option a)375 grams of Carbohydrates.

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QuestionIan's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . He is eating a total of3,000 kcal.
3. The energy content of carbohydrates is4 kcal/g.

STEP 2

First, we need to find the total kcal from carbohydrates in Ian's diet. We can do this by multiplying the total kcal by the percentage of carbohydrates.
$kcal_{carbohydrates} = Total\, kcal \\times Percentage\, of\, carbohydrates$

STEP 3

Now, plug in the given values for the total kcal and the percentage of carbohydrates to calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times50\%$

STEP 4

Convert the percentage to a decimal value.
$50\% =0.$ $kcal_{carbohydrates} =3,000\, kcal \\times0.$

STEP 5

Calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcal$

STEP 6

Now that we have the kcal from carbohydrates, we can find the total grams of carbohydrates Ian is eating. We can do this by dividing the kcal from carbohydrates by the energy content of carbohydrates.
$grams_{carbohydrates} = kcal_{carbohydrates} / Energy\, content\, of\, carbohydrates$

STEP 7

Plug in the values for the kcal from carbohydrates and the energy content of carbohydrates to calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g$

STEP 8

Calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g =375\, g$ Ian is eating375 grams of carbohydrates, so the correct answer is option a)375 grams of Carbohydrates.

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QuestionIan's diet has 30%30\%30% fat and 50%50\%50% carbs in a 3,000kcal3,000 \mathrm{kcal}3,000kcal total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

Studdy Solution

STEP 1

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . He is eating a total of3,000 kcal.3. The energy content of carbohydrates is4 kcal/g.

STEP 2

STEP 3

Now, plug in the given values for the total kcal and the percentage of carbohydrates to calculate the kcal from carbohydrates.kcalcarbohydrates=3,000 kcaltimes50%kcal_{carbohydrates} =3,000\, kcal \\times50\%kcalcarbohydrates​=3,000kcaltimes50%

STEP 4

Convert the percentage to a decimal value.50%=0.50\% =0.50%=0.kcalcarbohydrates=3,000 kcaltimes0.kcal_{carbohydrates} =3,000\, kcal \\times0.kcalcarbohydrates​=3,000kcaltimes0.

STEP 5

Calculate the kcal from carbohydrates.kcalcarbohydrates=3,000 kcaltimes0.5=1,500 kcalkcal_{carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcalkcalcarbohydrates​=3,000kcaltimes0.5=1,500kcal

STEP 6

STEP 7

Plug in the values for the kcal from carbohydrates and the energy content of carbohydrates to calculate the grams of carbohydrates.gramscarbohydrates=1,500 kcal/4 kcal/ggrams_{carbohydrates} =1,500\, kcal /4\, kcal/ggramscarbohydrates​=1,500kcal/4kcal/g

STEP 8

Calculate the grams of carbohydrates.gramscarbohydrates=1,500 kcal/4 kcal/g=375 ggrams_{carbohydrates} =1,500\, kcal /4\, kcal/g =375\, ggramscarbohydrates​=1,500kcal/4kcal/g=375gIan is eating375 grams of carbohydrates, so the correct answer is option a)375 grams of Carbohydrates.

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QuestionIan's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

Assumptions1. Ian's diet contains30% Fat and50% Carbohydrates. . He is eating a total of3,000 kcal.
3. The energy content of carbohydrates is4 kcal/g.

Now, plug in the given values for the total kcal and the percentage of carbohydrates to calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times50\%$

Convert the percentage to a decimal value.
$50\% =0.$ $kcal_{carbohydrates} =3,000\, kcal \\times0.$

Calculate the kcal from carbohydrates.
$kcal_{carbohydrates} =3,000\, kcal \\times0.5 =1,500\, kcal$

Plug in the values for the kcal from carbohydrates and the energy content of carbohydrates to calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g$

Calculate the grams of carbohydrates.
$grams_{carbohydrates} =1,500\, kcal /4\, kcal/g =375\, g$ Ian is eating375 grams of carbohydrates, so the correct answer is option a)375 grams of Carbohydrates.