Question

The nutritional content per ounce for three foods are displayed in the table below. If a person on a specific diet must include all three foods in their daily intake of 2480 calories, 114 grams of protein, and 175 mg of sodium, how many ounces of each food can the person eat per day? Calories Protein Sodium Food A 100 3 5 Food B 260 10 20 Food C 180 12 15 Ounces of Food A: Ounces of Food B: Ounces of Food C:

Answer 1

Explanation:

Let's denote the number of ounces of Food A as 'x', the number of ounces of Food B as 'y', and the number of ounces of Food C as 'z'.

To meet the daily intake requirements, we can set up the following equations based on the given nutritional content:

Calories: 100x + 260y + 180z = 2480

Protein: 3x + 10y + 12z = 114

Sodium: 5x + 20y + 15z = 175

Now, let's solve this system of equations to find the values of 'x', 'y', and 'z'.

Using a method like substitution or elimination, we can find that:

x = 5

y = 3

z = 5

Therefore, the person can eat 5 ounces of Food A, 3 ounces of Food B, and 5 ounces of Food C per day to meet the desired daily intake of calories, protein, and sodium.