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
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
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.
-----------
Protein equation: 3P + 1B = 38 grams
Carbo equation::: 11P + 8B = 187 grams
------------------------------------------
Modify for elimination::
24P + 8B = 8*38
11P + 8B = 187
----
Subtract and solve for "P":
13P = 117
P = 9 (# of cans of Peas needed)
----
Solve for "B"
3P + B = 38
3*9 + B = 38
B = 11 (# of cans of Beets needed)
====================================
Cheers,
Stan H.
===================
RELATED QUESTIONS
One serving of peas contains 3 grams protein and 11 grams of carbohydrates. One serving... (answered by richwmiller)
One serving of canned beets contains 1 gram of protein and 6 grams of carbohydrates. One (answered by josmiceli)
One serving of green beans contains 1 gram of protein and 4 grams of carbohydrates. One... (answered by prince_abubu)
One serving of Cornies breakfast cereal contains 2 grams of protein and 25 grams of... (answered by josmiceli)
According to the nutrition information given, one serving of total cereal contains 23... (answered by CubeyThePenguin)
A serving of apple provides 52 calories and 14 grams of carbohydrates, while a serving of (answered by ikleyn)
Protein(grams/serving) macaroni 3 broccoli 2
Carbohydrates (grams/serving) macaroni 16... (answered by Theo)
One serving (1/2 cup) of cooked peas contains 45 more Calories than one serving of cooked (answered by stanbon)
one serving (1/2 cup) cooked peas contains 45 more calories than one serving cooked... (answered by mananth)