At Pizzazz Pizza, the total price for 5

large pizzas plus 2 medium pizzas is

$81.50. The total for 4 large pizzas

plus 3 medium pizzas is $78.50.

What is the price of a medium pizza?

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1 5L + 2m = 81.5

Situation 2 4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by - 3 and situation 2 by 2

-15L - 6m = - 244.5

8L + 6m = 157

-7L = - 87.5

Solve for L L = - 87.5/-7

L = $12.5

Substitute L in Situation 1 to find m

5 (12.5) + 2m = 81.5

62.5 + 2m = 81.5

2m = 81.5 - 62.5

2m = 19

m = 19/2

m = $ 9.5

The prize of a medium pizza is $9.5