Solve the problem
-Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 120 g protein, 105 g fat, and 159 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; 5 meatballs; 2 eggs
B)5 mushrooms; 2 meatballs; 8 eggs
C)9 mushrooms; 6 meatballs; 3 eggs
D)2 mushrooms; 8 meatballs; 5 eggs

Question

Quizplus · Accepted Answer

To solve this, we set up equations based on the given nutritional information and the desired totals. Let x, y, and z represent the number of mushroom caps, meatballs, and deviled eggs, respectively. The equations are:- For protein: $3x + 14y + 13z = 120$- For fat: $5x + 7y + 15z = 105$- For carbohydrate: $9x + 15y + 6z = 159$Solving this system of equations, we find that $x = 8$, $y = 5$, and $z = 2$, which corresponds to choice A: 8 mushrooms, 5 meatballs, and 2 eggs.

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