Math 126 - Are You Sure It’s Fat Free
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Math 126 - Are You Sure It’s Fat Free

Gather three of your favorite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the “Are You Sure It’s Fat Free?” to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.

foods products:

Corn Chex 120 calories serving size 1 cup(31g)
Calories from fat 5
Total fat .05g =1%
Saturated Fat og
Trans fat og
Polyunsaturated fat 0g
Monounsaturated fat 0g
Cholesterol omg =o%
Sodium240mg 10%
Potassium 60mg =2%
Total carbohydrate 26g =9%
Dietary fiber 2g =7%
Sugars3g
Protein 2g

Fish
330 Calories I serving
Calories from fat 40
Total fat 4g = 6%
Saturated fat 1g = 5%
Trans fat 0g
Polyunsaturated fat 1g
Monounsaturated fat 1g
Cholesterol 30mg 10%
Sodium 480 mg 20%
Potassium 550mg =16%
Total Carbohydrate 58g =19%
Dietary fiber 4g =16%
Sugars 18g
Protein 14g = 24%





Organic Instant Hot Oatmeal No Sugar 8 packets 50g Net wt. 14 oz( 400g)
I packet (50mg)
Calories 210
Calories from fat 30
Total Fat 3.5g = 5%
Cholesterol 0 mg = 0%
Sodium 160 mg 7%
To Carbohydrate 37 g = 12%
Dietary Fiber 6g = 24%
Sugar 0 g
Protein 7g




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Math 126 - Are You Sure It’s Fat Free

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Jan 05, 2012
Rating
starstarstarstarstar 		Are You Sure It’s Fat Free?
by: Staff

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Part II

Here are some other figures you may find interesting (http://www.nutristrategy.com/nutrition/calories.htm):

Fat: 1 gram = 9 calories
Protein: 1 gram = 4 calories
Carbohydrates: 1 gram = 4 calories
Alcohol: 1 gram = 7 calories

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CORN CHEX

120 calories serving size 1 cup (31g)

[The Nutrition Facts for Corn Chex can also be found on the following website:

http://caloriecount.about.com/calories-general-mills-corn-chex-i8019]

Calories from Fat content:

The information you provided already includes a figure for calories from fat content: 5 calories

(You can also calculate this value as follows [according to the website, a typical value for grams of fat should be 0.5 grams, rather than 0.05 grams]: (.5 grams of fat)*(9 calories per gram of fat) = 4.5 calories)

% Calories from Fat: [(5 calories)/(120 calories)]*100 = 4.2%

4.2% of the calories come from fat
Calories from Protein content: (2 grams of protein)*(4 calories per gram of protein) = 8 calories

% Calories from Protein: [(8 calories)/(120 calories)]*100 = 6.67%

6.67% of the calories come from protein


FISH
330 Calories I serving

[The Nutrition Facts for Fish can also be found on the following website:

http://caloriecount.about.com/cc/search.php?search_type=foods&searchpro=fish&x=0&y=0]


Calories from Fat content:

The information you provided already includes a figure for calories from fat content: 40 calories

(You can also calculate this value as follows: (4 grams of fat)*(9 calories per gram of fat) = 36 calories)

% Calories from Fat: [(40 calories)/(330 calories)]*100 = 12.1%

12.1% of the calories come from fat

Calories from Protein content: (14 grams of protein)*(4 calories per gram of protein) = 56 calories

% Calories from Protein: [(56 calories)/(330 calories)]*100 = 17.0%

17.0% of the calories come from protein


ORGANIC INSTANT HOT OATMEAL No Sugar
8 packets 50g Net wt. 14 oz( 400g)

[The Nutrition Facts for Organic Instant Hot Oatmeal can also be found on the following website:

http://caloriecount.about.com/cc/search.php?search_type=foods&searchpro=Organic+Instant+Hot+Oatmeal&x=46&y=14]

Calories from Fat content:

The information you provided already includes a figure for calories from fat content: 30 calories

(You can also calculate this value as follows: (3.5 grams of fat)*(9 calories per gram of fat) = 31.5 calories)

% Calories from Fat: [(30 calories)/(210 calories)]*100 = 14.3%

14.3% of the calories come from fat

Calories from Protein content: (7 grams of protein)*(4 calories per gram of protein) = 28 calories

% Calories from Protein: [(28 calories)/(210 calories)]*100 = 13.3%

13.3% of the calories come from protein



Thanks for writing.
Staff
www.solving-math-problems.com

Jan 05, 2012
Rating
starstarstarstarstar 		Are You Sure It’s Fat Free?
by: Staff


Part I

Question:

Gather three of your favorite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the “Are You Sure It’s Fat Free?” to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.

foods products:

Corn Chex 120 calories serving size 1 cup(31g)
Calories from fat 5
Total fat .05g =1%
Saturated Fat og
Trans fat og
Polyunsaturated fat 0g
Monounsaturated fat 0g
Cholesterol omg =o%
Sodium240mg 10%
Potassium 60mg =2%
Total carbohydrate 26g =9%
Dietary fiber 2g =7%
Sugars3g
Protein 2g

Fish
330 Calories I serving
Calories from fat 40
Total fat 4g = 6%
Saturated fat 1g = 5%
Trans fat 0g
Polyunsaturated fat 1g
Monounsaturated fat 1g
Cholesterol 30mg 10%
Sodium 480 mg 20%
Potassium 550mg =16%
Total Carbohydrate 58g =19%
Dietary fiber 4g =16%
Sugars 18g
Protein 14g = 24%


Organic Instant Hot Oatmeal No Sugar 8 packets 50g Net wt. 14 oz( 400g)
I packet (50mg)
Calories 210
Calories from fat 30
Total Fat 3.5g = 5%
Cholesterol 0 mg = 0%
Sodium 160 mg 7%
To Carbohydrate 37 g = 12%
Dietary Fiber 6g = 24%
Sugar 0 g
Protein 7g



Answer:

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Summary of Article: “Are You Sure It’s Fat Free?”

The reason that a 97% fat free food is too good to be true is that the food industry bases its figures on the weight of the product and not the calories the product contains. For example, suppose a 10 ounce serving of food contains 240 calories, and the label states that it contains 9 grams of fat. the food industry then converts 10 ounces to grams by multiplying each ounce by 29 grams; hence, the total weight of the product is 290 grams, and if there are 9 grams of fat, the percentage of fat is 9/290x100%=3.1%

The procedure used by the food industry is misleading. The correct way to calculate the fat content is to multiply the number of grams of fat by 9 to get the calories. (Each gram of fat is converted to 9 calories) In this case, 9x9=81 calories. Next, divide the fat calories by the total calories and multiply by 100% to get the percentage of calories derived from fat. In this case the label stated that a 10 ounce serving contains a total of 240 calories.

81/240x100%=33.75%

Hence, 33.75% of the calories come from fat, not 3% as suggested.

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