A movie theater offers a special pricing for a membership the normal cost is 7.50 a ticket. The membership cost 5$ but with an initial fee of 25$. After how many tickets are both options the same price?

Answer 1

Let's denote the number of tickets for which both options have the same price as "x".

For the normal cost option, the price per ticket is $7.50.

For the membership option, there is an initial fee of $25 and each ticket costs $5.

Therefore, the total cost for the membership option is $25 + $5x.

To find when both options are the same price, we need to equate the two costs:

7.5x = 25 + 5x

Subtracting 5x from both sides gives:

2.5x = 25

Dividing both sides by 2.5 gives:

x = 10

Therefore, after 10 tickets, both options will have the same price.