Problema Solution

3 hotdogs and 4 hamburgers cost $14.25 and 4 hotdogs and 3 hamburgers cost $13.75 what is the cost of 1 hotdog and 1 hamburger?

Answer provided by our tutors

Let

x = the cost of one hotdog

y = the cost of one hamburger

3 hotdogs and 4 hamburgers cost $14.25:

3x + 4y = 14.25

4 hotdogs and 3 hamburgers cost $13.75:

4x + 3y = 13.75

We have the following system of equations:

3x + 4y = 14.25

4x + 3y = 13.75

........

click here to see the system of equations solved for x and y

........

x = $1.75

y = $2.25

One hotdog costs $1.75 and one hamburger costs $2.25.