When visiting friends in a state that has no sales tax, two families went to a fast-food restaurant for

lunch. The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. The Greens bought 5

cheeseburgers and 4 medium fries for $21.11.

Using c for the cost of a cheeseburger and f for the cost of medium fries, write a system of

equations that models this situation.

Answer: The system of equations that models this situation is

4c + 3f = 16.53

5c + 4f = 21.11

Step-by-step explanation:

Let c represent the cost of a cheeseburger.

Let f represent the cost of medium fries.

The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. It means that

4c + 3f = 16.53

The Greens bought 5

cheeseburgers and 4 medium fries for $21.11. It means that

5c + 4f = 21.11