Question

Two pizza parlors in town are offering special rates to attract group reservations. Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered. Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered. Compare the costs of holding an event at the two pizza parlors.

​Write and solve a system of linear equations to model the cost of an event at each pizza parlor.
a. Write an equation to represent the cost for a party at Stella’s Pizza.

b. Write an equation to represent the cost for a party at Napoli’s Pizza.

c. What is the solution to the system of equations? (label your answers)

Answer 1

x = 2 pizzas

Explanation:

Let

x = number of pizza ordered

Stella’s Pizza charges $16.00 room rental fee and an additional $8.00 for each pizza ordered.

cost for a party at Stella’s Pizza = 16 + 8x

Napoli’s Pizza charges $24 for the room rental fee and an additional $6.00 for each pizza ordered.

cost for a party at Napoli’s Pizza = 24 + 6x

Equate the cost for a party at Stella’s Pizza and cost for a party at Napoli’s Pizza

16 + 8x = 24 + 6x

8x - 6x = 24 - 16

2x = 8

x = 8/4

= 2

x = 2