1 answer
(click or scroll down)
To determine after how many tickets both membership options cost the same, we can set up an equation.
Let \( x \) represent the number of tickets purchased.
For the first option, the total cost is given by:
\[
\text{Cost}_1 = 20 + 15x
\]
For the second option, the total cost is:
\[
\text{Cost}_2 = 50 + 10x
\]
We want to find the value of \( x \) where both costs are equal:
\[
20 + 15x = 50 + 10x
\]
Now, we'll solve for \( x \):
1. Subtract \( 10x \) from both sides:
\[
20 + 15x - 10x = 50
\]
Simplifying gives:
\[
20 + 5x = 50
\]
2. Subtract 20 from both sides:
\[
5x = 30
\]
3. Divide by 5:
\[
x = 6
\]
Thus, after purchasing **6 tickets**, both options will cost the same.
**Answer: 6 tickets**