Question

At Freddy's, four steak burgers and two orders of fries cost $38. One steak burger and Two orders of fries cost $14. What is the cost for one steak burger? What is the cost of one order of fries?

PART A: write the system represents the situation
PART B: Solve the system.
PART C: What is cost for one steak burger? What is the cost of one order of fries?

Answer 1

The system of equations is solved by substitution, resulting in the cost of one steak burger being $8 and the cost of one order of fries being $3.

Step-by-step explanation:

We can represent the cost of the steak burgers and fries using two equations:

1. 4B + 2F = $38 (Equation 1: Four steak burgers and two orders of fries cost $38.)
2. 1B + 2F = $14 (Equation 2: One steak burger and two orders of fries cost $14.)

To solve for the cost of one steak burger (B) and one order of fries (F), we can subtract Equation 2 from Equation 1:
4B + 2F - (1B + 2F) = $38 - $14

3B = $24

B = $8

Now, substituting the value of B into Equation 2:

1B + 2F = $14

$8 + 2F = $14

2F = $14 - $8

2F = $6

F = $3

The cost for one steak burger is $8, and the cost for one order of fries is $3.