SOLUTION: One serving of canned peas contains 3 grams of protein 11 grams of carbohydrates. One serving of canned beets contains 1 gram of protein and 8 grams of carbohydrates. A dietitian w

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Question 800865: One serving of canned peas contains 3 grams of protein 11 grams of carbohydrates. One serving of canned beets contains 1 gram of protein and 8 grams of carbohydrates. A dietitian wants to determine the number of servings of each that would provide 38 grams of protein and 187 grams of carbohydrates. Use cramers rule to find the number of servings of each.
Answer by stanbon(75887) About Me  (Show Source):
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One serving of canned peas contains 3 grams of protein 11 grams of carbohydrates. One serving of canned beets contains 1 gram of protein and 8 grams of carbohydrates. A dietitian wants to determine the number of servings of each that would provide 38 grams of protein and 187 grams of carbohydrates. Use cramers rule to find the number of servings of each.
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Protein equation: 3P + 1B = 38 grams
Carbo equation::: 11P + 8B = 187 grams
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Modify for elimination::
24P + 8B = 8*38
11P + 8B = 187
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Subtract and solve for "P":
13P = 117
P = 9 (# of cans of Peas needed)
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Solve for "B"
3P + B = 38
3*9 + B = 38
B = 11 (# of cans of Beets needed)
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Cheers,
Stan H.
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