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1 answer:
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Answer:
The amount of rubbery jello=5.038 ounce
Dried fish stick = 4.886 ounce
Mystery meat = 1.526 ounce.
Step-by-step explanation:
Solutions/Explanation: (a) Suppose the amount of rubbery jello = ounce,
The dried fish sticks amount to be = ounce
The amount of mystery meat = ounce.
Specification of the ingredients
Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce
Dried fish sticks: Calories=50 Cal/ounce, Protien=3 grams/ounce, Vitamin C=10 mg/ounce
Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,
Now,
Total calories = .
Thus,
The, total Protien = .
Thus,
also, total Vitamin C = .
Thus,
Therefore,
1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.
(b) Now, we know three equations:
OR
From eqn 2,
From eqn 3.
OR
On solving the eqn 4, 5 and 6 for and
Multiplying eqn 5 by 100,
Now, subtract eqn 4 from eqn 7
Now, multiplying eqn 6 by 295. we have,
Now, subtract, eqn 8 from eqn 9, we get,
Now, substituting into eqn 6, we get
Now, substitute eqn 10 and 11 into eqn 4, we have