Get personalized answers to your unique questions on IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.

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

Sagot :

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

#SPJ1