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. 6 mushrooms; 2 meatballs; 7 eggs
B. 8 mushrooms; 7 meatballs; 3 eggs
C. 2 mushrooms; 7 meatballs; 6 eggs
D. 7 mushrooms; 6 meatballs; 2 eggs
Answer: D
Mathematics
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