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?

Answer 1

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.