Question

1 2 3 4 5 6 7 8 9 10 Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

Answer 1

h = number of hamburgers
c = number of cheeseburgers

There are 100 burger buns, therefore
h + c ≤ 100 (1)

The amount raised by selling h hamburgers and c cheeseburgers to make at least $80 is given by
3.00h + 3.50c ≥ 80 (2)

The problem to be solved is represented by the system of inequalities (1) and (2).