18KW
Masterpiece
A movie theater has a capacity of 350 seats. The theater charges $7.50 for each student ticket and $12.50 for
each adult ticket. If every seat is filled, the theater will make a profit of 52950.00
1. Write a system of equations that could be used to solve this problem. Do not solve this problem. Be
sure to define any variables that you use.
Score Box:
2. Solve your system of equations from part 1 both elimination and substitution, to determine the
number of student tickets and the number of adult tickets the theater sold.
Substitution:
Score Box:
3. Verify your answer graphically using your graphing calculator and the window 0≤x≤400 and
0sy≤400. Write out the equations you entered into your calculator and bring your calculator up
verify your solution to number 2.
Score Box:
4. The theater decided to add a child ticket to their options so that they now sell child tickets for $4.50
each, student tickets for $7.50 each, and adult tickets for $12.50 each. The capacity of the theater is
still 350, but they will not make as much money. The total for filling all of the seats is now $2415.00.
The theater noticed that they sold half as many adult tickets as they did student tickets. Write the
three equations that could be used to solve this problem. Do not solve the problem.
Score Box:
