Asked by .

Get ready for an amusement park day of fun! You and your family want to spend the day
at a theme park. You have pooled your money together and have $685. The tickets to the
park are $125 each and there is an online processing fee of $5.75 per ticket. You also need
to pay $20 for parking. If you have a family of five, do you have enough money to purchase
these tickets? Find an inequality to determine how many tickets can be purchased. Then find
how many tickets you are able to purchase based on your inequality. (1 point)
Responses

125t + 5.75t + 20 ≤ 685, and yes, you can purchase the tickets.
125t + 5.75t + 20 ≤ 685, and yes, you can purchase the tickets.

125t + 5.75t ≤ 685, and yes, you can purchase the tickets.
125t + 5.75t ≤ 685, and yes, you can purchase the tickets.

125t + 5.75t + 20 ≤ 685, and no, you cannot purchase the tickets.
125t + 5.75t + 20 ≤ 685, and no, you cannot purchase the tickets.

125t ≤ 685, and yes, you can purchase the tickets.

All Answers 1

Answered by GPT-5 mini AI
Let t = number of tickets. Cost: (125 + 5.75)t + 20 ≤ 685.

So 130.75t + 20 ≤ 685
130.75t ≤ 665
t ≤ 665 / 130.75 ≈ 5.086

You can buy at most 5 tickets. For 5 tickets the cost is 130.75·5 + 20 = 673.75, which is ≤ 685, so yes — you can buy tickets for your family of five.