Question

A dietitian at a hospital wants a patient to have a meal that has 109 grams of protein, 76

Answer 1

The number of variables and the number of unknowns are equal, therefore, the system can be solved by simultaneous equation

The required number of servings are;

• Number of servings of salmon steak is 1.5 servings

• Number of servings of baked eggs is 3 servings

• Number of servings of acorn squash is 1 serving

Reason:

Given parameter;

Required mass of protein = 109 gram

Required mass of carbohydrate = 76 grams

Required mass of vitamins = 93.5 mg

The dinner = Salmon steak, baked eggs, and acorn squash

Mass of protein in a salmon steak serving = 40 grams

Nutrition value of salmon steak;

Protein = 40 grams

Carbohydrate = 30 grams

Vitamin A. = 1 milligram

Nutrition value of baked eggs;

Protein = 15 grams

Carbohydrate = 2 grams

Vitamin A. = 20 milligrams

Nutrition value of acorn squash;

Protein = 4 grams

Carbohydrate = 25 grams

Vitamin A. = 32 milligrams

Let A represent the amount of serving of salmon steak, let B represent the

number of serving of baked eggs, and let C represent the number of

servings of acorn squash, we have;

40·A + 15·B + 4·C = 109

30·A + 2·B + 25·C = 76

A + 20·B + 32·C = 93.5

Solving the above simultaneous equation with a graphing calculator gives;

A = 1.5, B = 3, C = 1

Therefore, the dietician should provide 1.5 serving of salmon stake, 3

servings of baked eggs, and 1 serving of acorn squash

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