Solve the problem.
-Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 147 g protein, 127 g fat, and 180 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)8 mushrooms; 6 meatballs; 3 eggs
B)6 mushrooms; 3 meatballs; 8 eggs
C)3 mushrooms; 8 meatballs; 6 eggs
D)9 mushrooms; 7 meatballs; 4 eggs

Question

Quizplus · Accepted Answer

This problem can be solved by setting up a system of equations based on the given information and solving for the number of each snack. The equations based on the protein, fat, and carbohydrate content are: 3m + 14s + 13e = 147 (protein), 5m + 7s + 15e = 127 (fat), and 9m + 15s + 6e = 180 (carbohydrate), where m is the number of mushroom caps, s is the number of spicy meatballs, and e is the number of deviled eggs. Solving this system of equations yields the solution: 8 mushrooms, 6 meatballs, and 3 eggs.

Solve the Problem. -Ron Attends a Cocktail Party (With His Graphing Calculator in Graphing