Let's assume the number of tickets needed for both options to be the same price is x.
For the first option, the cost is $15 per ticket with an initial fee of $10. So the total cost for x tickets can be represented as 15x + 10.
For the second option, the cost is $10 per ticket with an initial fee of $45. So the total cost for x tickets can be represented as 10x + 45.
Since we want the total cost for x tickets to be the same for both options, we can set the equations equal to each other:
15x + 10 = 10x + 45
Subtracting 10x and 10 from both sides:
5x = 35
Dividing both sides by 5:
x = 7
Therefore, both options will be the same price after 7 tickets.
A movie theater offers two options for membership. The first option costs $15 per ticket but an initial fee of $10. The second option costs $10 per ticket but an initial fee of $45. After how many tickets are both options the same price?
__ tickets
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2 answers