Part A) The Rosegold Cinema is conducting a mathematical study. In its theater, there are 225 seats. Adult tickets cost $10.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1250 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal.
Part B) Marta claims that selling 100 adult tickets and 60 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect, based on the graph drawn.