Final answer:
To solve this problem, set up a system of equations and solve using substitution or elimination. The cost of a single burger is $4.00 and the cost of an order of French fries is $2.00.
Step-by-step explanation:
To solve this problem, we can set up a system of equations based on the information given. Let's define the cost of a burger as 'x' and the cost of an order of French fries as 'y'.
From the first scenario, we know that 4 burgers and 2 orders of French fries cost $20.00. This can be written as the equation 4x + 2y = 20.
From the second scenario, we know that 2 burgers and 3 orders of French fries cost $14.00. This can be written as the equation 2x + 3y = 14.
We now have a system of equations:
4x + 2y = 20
2x + 3y = 14
We can solve this system by using the method of substitution or elimination. Let's use the method of elimination:
Multiplying the first equation by 3, and the second equation by 2, we get:
12x + 6y = 60
4x + 6y = 28
Now, subtracting the second equation from the first equation, we eliminate 'y':
12x + 6y - (4x + 6y) = 60 - 28
8x = 32
Dividing both sides of the equation by 8, we find:
x = 4
Substituting the value of 'x' into the first equation, we can find the value of 'y':
4(4) + 2y = 20
16 + 2y = 20
Subtracting 16 from both sides of the equation, we find:
2y = 4
Dividing both sides of the equation by 2, we get:
y = 2
Therefore, the cost of a single burger is $4.00 and the cost of an order of French fries is $2.00.