Question

The cost for 4 hamburgers and 3 drinks is $14.75. The cost for 5 hamburgers and 4 drinks is $18.75. How much does 1 hamburger cost.

Answer 1

each hamburger is $2.75

Explanation:

We can solve for this system of equations where x are the burgers, and y are the drinks:

4x+3y=$14.75

5x+4y=$18.75

We need to multiply the first row by 4, and multiply the second row by -3 to be able to solve for x

Multiplying, we get:

16x+12y=$59

-15x-12y=$56.25

Now subtracting the top by the bottom, we are left with:

x=$2.75

Thus, each hamburger cost $2.75

side note, you can plug in x=$2.75 into either equation and solve for y to figure out what each drink costs :)