Answer:
20 rides.
The question:
"There have been two proposals for ticket sales. The first proposes a base fee of $5 for entry into the park and $0.50 per ride. The second plan has no base fee, but charges $0.75 per ride. After How many rides would the cost[s] be equal?"
Step-by-step explanation:
Assume that the two costs become equal after [tex]x[/tex] rides.
- The first plan will cost [tex](5 + 0.50x)[/tex] dollars.
- The second plan will cost [tex]0.75 x[/tex] dollars.
The two costs are assumed to be equal. That is:
[tex]5 + 0.50x = 0.75 x[/tex].
Subtract [tex]0.50x[/tex] from both sides of this equation:
[tex]5 = 0.25 x[/tex].
[tex]\displaystyle x = \frac{5}{0.25} = \frac{500}{25} = 20[/tex].
In other words, the two costs become equal after 20 rides.
