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)Responses125t+5.75t+20≤685, and no, you cannot purchase the tickets.125 t plus 5.75 t plus 20 less than or equal to 685 , and no, you cannot purchase the tickets.125t≤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, 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+5.75t≤685, and yes, you can purchase the tickets.

Answer 1

Let t = number of tickets. The cost inequality is
125t + 5.75t + 20 ≤ 685
Combine like terms:
130.75t + 20 ≤ 685
130.75t ≤ 665
t ≤ 665 / 130.75 ≈ 5.086

So you can buy at most 5 whole tickets. For 5 tickets the total cost is 130.75(5) + 20 = 673.75, which is ≤ 685, leaving $11.25. Since your family has five people, you have enough money.