Question

A dietician is planning a snack package of fruit and nuts. Every package must provide at least 12 units of protein, at least 14 units of carbohydrates, and no more than 9 units of fat. An ounce of fruit will supply 3 units of protein, 6 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 5 units of protein. 2 unit of carbohydrates, and 6 units of fat. How many ounces of fruit and nuts must be used in each snack package?

Answer 1

To determine the number of ounces of fruit and nuts that must be used in each snack package, we can set up a system of equations based on the given information.

Step-by-step explanation:

To determine the number of ounces of fruit and nuts that must be used in each snack package, we can set up a system of equations based on the given information.

Let x be the number of ounces of fruit and y be the number of ounces of nuts.

From the information provided, we can write the following equations:

1. 3x + 5y ≥ 12 (equation for protein)
2. 6x + 2y ≥ 14 (equation for carbohydrates)
3. x + 6y ≤ 9 (equation for fat)

Solving this system of equations will give us the values of x and y, which represent the number of ounces of fruit and nuts, respectively, that should be used in each snack package.