Question

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
125
𝑡
+
5.75
𝑡
+
20
≤
685
, and yes, you can purchase the tickets.
125 t plus 5.75 t plus 20 less than or equal to 685 , and yes, you can purchase the tickets.

125t≤685
125
𝑡
≤
685
, and yes, you can purchase the tickets.
125 t less than or equal to 685 , and yes, you can purchase the tickets.

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

Answer 1

Let t = number of tickets. The cost inequality is
125t + 5.75t + 20 ≤ 685.

Combine terms: 130.75t + 20 ≤ 685.
Subtract 20: 130.75t ≤ 665.
Divide: t ≤ 665 / 130.75 ≈ 5.086.

Since t must be a whole number, the maximum tickets you can buy is 5.
Cost for 5 tickets = 130.75(5) + 20 = 673.75, so yes — you can buy tickets for your family of five (and would have $11.25 left).