SOLUTION: A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the percentage of each ingredient in the blend but we know that the quinoa in the blend

Question 1160612: A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the percentage
of each ingredient in the blend but we know that the quinoa in the blend contains 14.5% protein, and the
corn in the blend contains 2.5% protein. Overall, each 60 gram serving of pasta contains 4 grams of
protein. Model a systems of equations for this problem and solve the system to find how much quinoa and
how much corn is in one serving of the pasta?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Q+C=60
.145Q+.025C=4
multiply bottom by -40 to eliminate C
-5.8Q-C=-160
add the top
-4.8Q=-100
Q=20.83 gm with 3.021 gm protein
C=39.17 gm corn with 0.979 gm protein
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Let x = grams of quinoa
Let y = grams of corn

Then 0.145x = grams of protein in the quinoa
and 0.025y = grams of protein in the corn

the sample is 60 grams
the amount of protein is 4 grams

Usually when a system of linear equations has both equations in the form ax+by=c, I would use elimination. But with the ugly coefficients in the second equation, I choose to use substitution.

I'll let you finish from there.

Note that the last equation I show in my work is what would be my starting equation, if the instructions had not said to use a system of equations. Nearly always, solving a problem using a single variable and a single equation is easier and faster than solving a pair of equations in two variables.

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