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?
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.
To find out after how many tickets both options are the same price, we need to set up an equation and solve for the unknown variable. Let's denote the number of tickets needed as "x".
Option 1: Without membership
The cost per ticket is $7.50.
Option 2: With membership
The membership cost is $5, with an initial fee of $25. Therefore, the total cost of the membership is $25 + (5 * x).
To find the point at which both options are the same price, we set up the following equation:
7.50 * x = 25 + 5 * x
Simplify the equation by subtracting 5 * x from both sides:
2.50 * x = 25
Divide both sides of the equation by 2.50 to isolate "x":
x = 25 / 2.50
Simplifying:
x = 10
Therefore, after 10 tickets, both options will be the same price.
To find out after how many tickets both options become the same price, we need to set up an equation.
Let's denote 'x' as the number of tickets.
For the normal pricing option, the cost per ticket is $7.50. Therefore, the total cost of 'x' tickets using the normal pricing option would be:
Total Cost = $7.50 * x
For the membership option, there is an initial fee of $25, and each ticket costs $5. The total cost of 'x' tickets using the membership option would be:
Total Cost = $25 (initial fee) + $5 * x (cost per ticket)
To find the point where both options have the same price, we need to set up an equation:
$7.50 * x = $25 + $5 * x
Now, let's solve for 'x':
$7.50 * x = $25 + $5 * x
$7.50 * x - $5 * x = $25
$2.50 * x = $25
x = $25 / $2.50
x = 10
Therefore, after purchasing 10 tickets, both the normal pricing option and the membership option become the same price.