Question

Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 109 g protein, 103 g fat, and 153 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?

Answer 1

To find out how many snacks Ron can eat to obtain his goal, we can set up a system of equations and solve for the number of each snack.

Step-by-step explanation:

To find out how many of each snack Ron can eat to obtain his goal, we'll use a system of equations. Let's denote the number of mushroom caps as 'x', the number of meatballs as 'y', and the number of deviled eggs as 'z'.

We can set up the following three equations:
3x + 14y + 13z = 109 (for protein)
5x + 7y + 15z = 103 (for fat)
9x + 15y + 6z = 153 (for carbohydrate)

Now, we can solve this system of linear equations using either substitution method or matrix methods. The solution will give us the number of snacks Ron can eat to obtain his goal.