Question

At an airport restaurant, 3 fries and 3 hamburgers cost $12.00. An order of 5 fries and 4 hamburgers costs $17.00. How much does one hamburger cost?​

Answer 1

To find out the cost of one hamburger, we can set up a system of equations and solve for the price using substitution or elimination method. In this case, one hamburger costs $1.

Step-by-step explanation:

To find out the cost of one hamburger, we can set up a system of equations based on the given information.

Let x represent the cost of one hamburger and y represent the cost of one order of fries.

We can then set up the following equations:

3x + 3y = 12 (equation 1)

5x + 4y = 17 (equation 2)

Now, we can solve this system of equations using substitution or elimination method:

Using substitution method:

From equation 1, we can solve for y:

3x + 3y = 12 ---> y = (12 - 3x)/3

Substitute this value of y into equation 2:

5x + 4((12 - 3x)/3) = 17

Solve for x:

15x + 4(12 - 3x) = 51

15x + 48 - 12x = 51

3x = 3

x = 1

Therefore, one hamburger costs $1.