8. Nate bought two large pizzas and one small pizza and paid $36. If the difference in cost between a large and small pizza is $5.25, how much does a small pizza cost?

$8.5

Step-by-step explanation:

We need to propose a system of equations with the information provided to us.

two large pizzas and one small pizza cost $36:

where

: Large pizza

Small pizza

and the difference in cost between a large and small pizza is $5.25:

our system of equations is:

We are asked for the price of small pizza, so we must manipulate the equations in such a way that adding or subtracting them removes the variable L and we are left with an equation for S.

Multiply the second equation of the system by -2

and now we sum this with the first equation of the system:

simplifying the result:

and solving for S (the price of a small pizza)

the two may have that, even a breakdown is probably offered