Write a system of equations for the situation. You do not need to solve!

Question

Mrs. Frank bought 4 hamburgers and 2 order of fries for $24. The next day she went to the same place and bought 3 hamburgers and one order of fries for $17. How much does a hamburger cost?

Answer 1

h = cost of a hamburger

f = cost of an order of French fries

4h + 2f = 24

3h + f = 17

To find the cost of a hamburger, we need to use substitution method from the above system of linear equations.

f = 17 - 3h

4h + 2(17 - 3h) = 24

4h + 34 - 6h = 24

34 - 2h = 24

-2h = -10

h = 5

It costs $5 for a hamburger. If you go further, then you will find the cost of an order of French fries is $2.