Nutritional information for macraroni and broccoli is given in a table. How many servings of each would it take to get exactly 22 grams of protein and 64 grams of of carbohydrates

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07-07-2022
Mathematics

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Nutritional information for macraroni and broccoli is given in a table. How many servings of each would it take to get exactly 22 grams of protein and 64 grams of of carbohydrates

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joaobezerra joaobezerra · Answer 1 · 2022-07-08T17:42:15+02:00

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.

What is a system of equations?

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 https://brainly.com/question/24342899

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