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)

Answer 1

Let t be the number of tickets. Each ticket costs $125 plus a $5.75 processing fee, and parking is $20, so the total cost is

130.75t + 20 ≤ 685.

Solve:
130.75t ≤ 665
t ≤ 665 / 130.75 ≈ 5.086.

You can buy at most 5 whole tickets. Cost for 5 tickets = 5·130.75 + 20 = $673.75, which is ≤ $685, so yes — you have enough for your family of five. You would have $685 − $673.75 = $11.25 left.