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

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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) About Me  (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 a = number of servings of Cornies needed
Let b = number of servings of Oaties needed
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given:
For protein:
(1) 2a+%2B+4b+=+24
For carbs:
(2) 25a+%2B+20b+=+210
Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) 25a+%2B+20b+=+210
(1) -10a+-+20b+=+120
15a+=+90
a+=+6
And, from (1),
2%2A6+%2B+4b+=+24
4b+=+12
b+=+3
6 servings of Cornies and 3 servings of Oaties are needed
check answer:
For protein:
(1) 2a+%2B+4b+=+24
(1) 2%2A6+%2B+4%2A3+=+24
(1) 12+%2B+12+=+24
OK
For carbs:
(2) 25a+%2B+20b+=+210
(2) 25%2A6+%2B+20%2A3+=+210
(2) 150+%2B+60+=+210
(2) 210+=+210
OK