Question

Jason paid $15.50 for 3 slices of pizza and 2 burgers. Susan paid $20 for 1 slice of pizza and 4 burgers. Write a system of equation and then determine the cost of each slice of pizza and the cost of each burger.

Each slice of pizza costs $



Each burger costs $

Answer 1

The answer to your question is: Burger = $4.45, Pizza = $2.2

Explanation:

Jason = $15.5 for 3 slices of pizza + 2 burgers

Susan = $20 for 1 slice of pizza + 4 burgers

Pizza = p

burger = b

System of equations

Jason 3p + 2b = 15.5 (I)

Susan p + 4b = 20 (II)

Solve system by elimination

Multiply (II) by -3

3p + 2b = 15.5

-3p - 12b = -60

-10b = -44.5

b = -44.5/-10

b = $4.45

p + 4(4.45) = 20

p + 17.8 = 20

p = 20 - 17.8

p = 2.2

One slice of pizza costs $2.2 and one burger cost $4.45