SOLUTION: One serving of canned beets contains 1 gram of protein and 6 grams of carbohydrates. One serving of canned red beans contains 6 grams of protein and 20 grams of carbohydrates. H

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Question 273137: One serving of canned beets contains 1 gram of protein and 6 grams of carbohydrates. One serving of canned red beans contains 6 grams of protein and 20 grams of carbohydrates. How many servings of each would it take to get exactly 21 grams of protein and 78 grams of carbohydrates?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = a serving in grams
Let p = protein
let c = carbs
For canned beets:
s%5B1%5D+=+1p+%2B+6c
For red beans:
s%5B2%5D+=+6p+%2B+20c
We want
s+=+21p+%2B+78c
I notice that 3%2As%5B2%5D+=+18p+%2B+60c
I need 3 servings of s%5B1%5D to make
21p, since
3%2As%5B1%5D+=+3p+%2B+18c
and
3p+%2B+18c plus
18p+%2B+60c equals
21p+%2B+78c
so, I need 3 servings of beets
and 3 servings of red beans