Write the word or phrase that best completes each statement or answers the question.
-Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intaketo 149 g protein, 140 g fat, and 180 g carbohydrate. According to the health conscious hostess, themarinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 gprotein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 gcarbohydrate. How many of each snack can he eat to obtain his goal?
A)9 mushrooms, 5 meatballs, 4 eggs
B)5 mushrooms, 4 meatballs, 9 eggs
C)4 mushrooms, 9 meatballs, 5 eggs
D)10 mushrooms, 6 meatballs, 5 eggs

Question

Quizplus · Accepted Answer

Let x be the number of mushroom caps, y be the number of meatballs, and z be the number of deviled eggs. The system of equations to represent the problem is:
3x + 14y + 13z = 149
5x + 7y + 15z = 140
9x + 15y + 6z = 180
Using matrix algebra or elimination, the solution is x = 9, y = 5, and z = 4. Therefore, Ron can eat 9 mushroom caps, 5 meatballs, and 4 deviled eggs to obtain his goal.

Write the Word or Phrase That Best Completes Each Statement