MAtine:
each ticket = $6
Each popcorn = $3
Evening:
Each ticket = $9
Each popcorn = $4
Number of tickets = t
Number of popcorns = p
Fun club attends at matinee, spends less than $60
6t + 3p < 60
Then attends an evening show and spends more than $36
9t + 4p > 36
The system of inequations:
6t + 3p < 60
9t + 4p > 36
Graph each and find the solution
6x + 3y < 60
9x + 4y > 36
Where both areas overlap is the solution:
Answer: 7 tickets and 5 popcorns