To determine how many tickets you can purchase, we need to consider the total cost involved, which includes the cost of the tickets, the online processing fee, and the parking fee.
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Variables: Let \( t \) be the number of tickets.
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Cost of Tickets: Each ticket costs $125, so the total cost for tickets is \( 125t \).
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Processing Fee: The processing fee is $5.75 per ticket, so the total processing fee is \( 5.75t \).
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Parking Fee: There is a flat parking fee of $20.
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Total Cost: The total cost can be represented as: \[ \text{Total Cost} = 125t + 5.75t + 20 \]
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Total Amount Available: You have a total of $685 to spend.
Now we can set up the inequality: \[ 125t + 5.75t + 20 \leq 685 \]
Combine the terms involving \( t \): \[ (125 + 5.75)t + 20 \leq 685 \] \[ 130.75t + 20 \leq 685 \]
Subtract 20 from both sides: \[ 130.75t \leq 665 \]
Now, divide both sides by 130.75: \[ t \leq \frac{665}{130.75} \] Calculating the right side: \[ t \leq 5.08 \]
Since you can't purchase a fraction of a ticket, you can buy a maximum of 5 tickets.
Conclusion:
Thus, the inequality is: \[ 130.75t + 20 \leq 685 \] And based on this, you can purchase 5 tickets.
So among the provided options, the correct choice is: \[ 125t + 5.75t + 20 \leq 685, \text{ and yes, you can purchase the tickets.} \] However, based on the format, none of the options directly state the correct answer. The proper calculation indicates that you can afford 5 tickets after accounting for the parking fee and processing fees.
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