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

Answer:

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

Step-by-step 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