Using a system of equations, it is found that it would take 2 servings of macaroni and 8 servings of broccoli to get the desired amount.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable M: Servings of macaroni.
- Variable B: Servings of broccoli.
Researching the problem on the internet, each serving of macaroni has 3 grams of protein, while each serving of broccoli has 2 grams. Since 22 grams of protein are needed, we have that:
3M + 2B = 22.
Each serving of macaroni has 16 grams of carbohydrates, while each serving of broccoli has 4 grams. Since 64 grams of carbohydrates are needed, we have that:
16M + 4B = 64
Simplifying by 4:
4M + B = 16 -> B = 16 - 4M
Replacing in the first equation:
3M + 2B = 22
3M + 2(16 - 4M) = 22
5M = 10
M = 10/5
M = 2.
B = 16 - 4M = 16 - 8 = 8
2 servings of macaroni and 8 servings of broccoli are needed.
More can be learned about a system of equations at brainly.com/question/24342899
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