Professor Francois decides to have a pizza party for his College Algebra students. He decides to order a total of 14 pizzas from Papa John's. The large spicy Italian pizzas cost $17.99 each, and the medium Hawaiian BBQ chicken pizzas are $11.99 each. If Professor Francois spent a total of $215.86 before taxes and delivery charges, how many of each type of pizza did he order? Use S for the spicy Italian and H for the Hawaiian BBQ chicken pizzas.
Little Facts: In 1983, John Schnatter received a business degree from Ball State University and at age twenty-two began to sell pizzas from his dad's tavern in Jefferson, Indiana, after selling his 1971 Z28 Camaro to purchase used restaurant equipment. Papa John's opened its first restaurant in 1984 and there are over 3,000 stores worldwide, to this date.†
(1) Set up a linear system of linear equations that models the situation. Use S for the spicy Italian and H for the Hawaiian BBQ pizzas.
(a)Equation 1
(He decides to order a total of 14 pizzas from Papa John's.)
(b)Equation 2
(The large spicy Italian pizzas cost $17.99 each, and the medium Hawaiian BBQ chicken pizzas are $11.99 each.)
(2)Solve the system using substitution or elimination and write your answer to the problem in a complete sentence.
Professor Francois bought ..............spicy Italian pizzas and ...............Hawaiian BBQ chicken pizzas
