Question

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

Answer 1

Let t = number of tickets. Total cost = (125 + 5.75)t + 20, so the inequality is
125t + 5.75t + 20 ≤ 685.

Simplify: 130.75t + 20 ≤ 685 → 130.75t ≤ 665 → t ≤ 665/130.75 ≈ 5.088.

You can buy at most 5 whole tickets. For a family of five, cost = 130.75(5) + 20 = 673.75 ≤ 685, so yes, you have enough.