Question

One serving of broccoli contains 50 calories and 5 grams of protein. One serving of salmon contains 140 calories and 21 grams of protein. Find the number of servings of each which combined contains 200 calories and 27 grams of protein. How many servings of broccoli are needed? Type in your numerical answer only; do not type any words or letters with your answer.

Answer 1

1.2 servings of broccoli and 1 servings of salmon.

1.2 servings of broccoli are needed.

Step-by-step explanation:

Let the servings of broccoli be x an salmon be y.

One serving of broccoli contains 50 calories and 5 grams of protein.

One serving of salmon contains 140 calories and 21 grams of protein.

Calories in x servings = 50 x

Calories in y servings = 140y

Total calories when combined = 200 cal

50 x + 140 y = 200 cal ...[1]

Proteins in x servings = 5x

Proteins in y servings = 21y

Total proteins when combined = 27 g

5x + 21y = 27 ...[2]

On solving [1] and [2] we get:

x = 1.2 , y = 1

1.2 servings of broccoli and 1 servings of salmon.

1.2 servings of broccoli are needed.