a movie theater offers two options for membership. the first option costs $10 per ticket but an initial fee of $10. the second option costs $5 per ticket but an initial fee of $55. after how many tickets are both options the same price?
Let x represent the number of tickets.
For the first option, the cost would be 10x + 10.
For the second option, the cost would be 5x + 55.
Setting both options equal to each other:
10x + 10 = 5x + 55
Subtracting 5x from both sides:
5x + 10 = 55
Subtracting 10 from both sides:
5x = 45
Dividing by 5:
x = 9
After 9 tickets, both options would cost the same price.