Question

A movie theater offers two options for membership. The first option cost $15 per ticket but an initial fee of $10. The second option cost $10 per ticket but initial fee of $45. After how many tickets are both options the same.

Answer 1

its 5

Answer 2

To determine the number of tickets at which both options are the same, let's denote the number of tickets as "x."

For Option 1: The cost per ticket is $15, and there is an initial fee of $10. So the total cost for x tickets would be 15x + 10.

For Option 2: The cost per ticket is $10, and there is an initial fee of $45. So the total cost for x tickets would be 10x + 45.

To find the number of tickets at which both options are equal, we set up the following equation:

15x + 10 = 10x + 45

Simplifying the equation, we get:

15x - 10x = 45 - 10

5x = 35

Dividing both sides of the equation by 5, we find:

x = 35/5

x = 7

Therefore, after 7 tickets, both options will cost the same.