Petri was putting away groceries for his wife and noticed that she bought three boxes of...

Petri was putting away groceries for his wife and noticed that she bought three boxes of crackers: Wheat Thins, grahams, and vanilla wafers. He recorded the nutrition in the following table. The amounts are per serving.

Petri thought, “I wonder if it is possible for me to eat some of each and obtain 520 calories, 21 g of fat, and 84 g of carbohydrates?”

(a) Write the given information as a system of equations.

(b) Determine if it is possible for Petri to obtain the stated amounts. If so, find the required number of servings of each cracker.