Write a System of Linear Equations in Three Variables, and Then

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-Ron attends a cocktail party (with his graphing calculator in his pocket) . He wants to limit his food intake to 131 g protein, 107 g fat, and 165 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?

A) 7 mushrooms; 6 meatballs; 2 eggs
B) 6 mushrooms; 2 meatballs; 7 eggs
C) 2 mushrooms; 7 meatballs; 6 eggs
D) 8 mushrooms; 7 meatballs; 3 eggs