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)

Question

Responses

A) 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.

B) 125t+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.

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

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

Answer 1

To determine how many tickets can be purchased with the pooled money, we can set up the inequality based on the total cost of the tickets, processing fees, and parking.

Let \( t \) represent the number of tickets. The cost for \( t \) tickets will include:

• The cost of the tickets: \( 125t \)
• The online processing fee: \( 5.75t \)
• The parking fee: \( 20 \)

Therefore, the total cost can be expressed as:

\[ 125t + 5.75t + 20 \]

Since you have a total of $685 to spend, you can set up the inequality:

\[ 125t + 5.75t + 20 \leq 685 \]

Now, let's combine the ticket and processing fee terms:

\[ (125 + 5.75)t + 20 \leq 685 \] \[ 130.75t + 20 \leq 685 \]

Next, we can subtract the parking fee from both sides:

\[ 130.75t \leq 685 - 20 \] \[ 130.75t \leq 665 \]

Now, divide both sides by \( 130.75 \):

\[ t \leq \frac{665}{130.75} \approx 5.08 \]

Since \( t \) must be a whole number, you can buy at most 5 tickets.

Now we can evaluate the options available:

A) \( 125t + 5.75t + 20 \leq 685 \), and yes, you can purchase the tickets. (Incorrect, since the total is actually enough for only 5 tickets)

B) \( 125t + 5.75t + 20 \leq 685 \), and no, you cannot purchase the tickets. (Incorrect, since you can actually afford them)

C) \( 125t + 5.75t \leq 685 \), and yes, you can purchase the tickets. (Incorrect, doesn't include the parking fee)

D) \( 125t \leq 685 \), and yes, you can purchase the tickets. (Incorrect, since it ignores processing fee and parking)

Since none of the options accurately reflect the situation and based on calculations, if we re-evaluate specifically for 5 tickets:

Total for 5 tickets:

• Tickets: \( 5 \times 125 = 625 \)
• Processing fee: \( 5 \times 5.75 = 28.75 \)
• Parking: \( 20 \)

Total Cost: \( 625 + 28.75 + 20 = 673.75 \)

Remaining Balance: \( 685 - 673.75 = 11.25 \)

Thus, it's clear you can buy tickets for all 5 members of the family.

So the actual supported conclusion should be:

You have enough money to pay for 5 tickets but the total must respect the initial needed inequality condition. However, none of the provided options fit perfectly.

Answer 2

try again it has to be one of the answers

Answer 3

Let's reevaluate the situation based on the information given and the constraints from your options:

1. Define the variables and costs: You have a family of five, and each ticket costs $125 with an additional online processing fee of $5.75 per ticket. There's also a parking fee of $20.

2. Set up the inequality: The total cost for \( t \) tickets plus parking can be written as: \[ 125t + 5.75t + 20 \leq 685 \]

This simplifies to: \[ 130.75t + 20 \leq 685 \]

3. Subtract the parking fee: \[ 130.75t \leq 685 - 20 \] \[ 130.75t \leq 665 \]

4. Divide by 130.75: \[ t \leq \frac{665}{130.75} \approx 5.08 \]

Since \( t \) must be a whole number, you can purchase a maximum of 5 tickets.

Now, let's evaluate the options again:

A) \( 125t + 5.75t + 20 \leq 685 \), and yes, you can purchase the tickets.
B) \( 125t + 5.75t + 20 \leq 685 \), and no, you cannot purchase the tickets.
C) \( 125t + 5.75t \leq 685 \), and yes, you can purchase the tickets.
D) \( 125t \leq 685 \), and yes, you can purchase the tickets.

Correct Choice:

• Option A: \( 125t + 5.75t + 20 \leq 685 \), and yes, you can purchase the tickets.

The reason this choice is correct is that we correctly set up the total cost including all necessary fees, and confirmed that you have enough to cover the cost of 5 tickets.

So the answer is A.