SOLUTION: One serving of Cornies breakfast cereal contains 2 grams of protein and 25 grams of carbohydrates. One serving of Oaties breaks cereal contains 4 grams of protein and 20 grams of

Question 398852: One serving of Cornies breakfast cereal contains 2 grams of protein and 25 grams of carbohydrates. One serving of Oaties breaks cereal contains 4 grams of protein and 20 grams of carbohydrates. How many servings of each would provide exactly 24 grams of protein an d210 grams of carbohydrates?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are 2 grams of protein and 25 grams of carbohydrates in 1 serving of Cornies
There are 4 grams of protein and 20 grams of carbohydrates in 1 serving of Oaties.
Let = number of servings of Cornies needed
Let = number of servings of Oaties needed
----------------------------------------
given:
For protein:
(1)
For carbs:
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

And, from (1),

6 servings of Cornies and 3 servings of Oaties are needed
check answer:
For protein:
(1)
(1)
(1)
OK
For carbs:
(2)
(2)
(2)
(2)
OK
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