Ron attends a cocktail party with his graphing calculator in

Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 117 g protein, 100 g fat, and 150 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, 5 meatballs, 2 eggs

b. 2 mushrooms, 7 meatballs, 5 eggs

c. 5 mushrooms, 2 meatballs, 7 eggs

d. 8 mushrooms, 6 meatballs, 3 eggs

Solution

Let number of mushroom be x,meatballs be y and deviled eggs be z

According to question

3x+14y+13z=117

5x + 7y + 15z=100

9x + 15y + 6z=150

solving them we get

x=7, y=5, z=2

Therefore the correct option is a