4. The ninth graders are hosting the next school dance. They would like to make at least a $500
profit from selling tickets. The ninth graders estimate that at most 300 students will attend the
dance. They will earn $3 for each ticket purchased in advance and $4 for each ticket purchased
at the door.
a. Write a system of linear inequalities that can be used to find the possible combinations of
tickets purchased in advance, a, and at the door, d, that would satisfy the ninth graders goal.
b. The ninth graders claimed they sold 45 tickets in advance and 96 tickets at the door. Using
your system of inequalities from (a), algebraically determine if they met their goal.