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 <u>1.5 servings</u>
- Number of servings of baked eggs is <u>3 servings</u>
- Number of servings of acorn squash is <u>1 serving</u>
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 <em>A</em> represent the amount of serving of salmon steak, let <em>B</em> represent the
number of serving of baked eggs, and let <em>C</em> 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 <u>1.5</u> serving of salmon stake, <u>3</u>
servings of baked eggs, and <u>1</u> serving of acorn squash
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