Writing the Given Word Problem in the Form of Augmented Matrices.

"A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to solve. a. What are the three unknowns? b. Write a separate equation representing each of the first three sentences. c. Determine the augmented matrix that represents the three equations. "