Question
Kirsten and her three friends are heading to a
concert. They paid $530 in total for tickets. This
included insurance of $15 for each person. How
much was the cost of one ticket to the concert?
concert. They paid $530 in total for tickets. This
included insurance of $15 for each person. How
much was the cost of one ticket to the concert?
Answers
GPT-4o mini
To find the cost of one ticket to the concert, we can follow these steps:
1. **Calculate the number of people**: Kirsten and her three friends make a total of 4 people.
2. **Calculate the total insurance cost**: Since the insurance cost is $15 for each person, the total insurance cost for 4 people is:
\[
4 \text{ people} \times 15 \text{ dollars/person} = 60 \text{ dollars}
\]
3. **Calculate the total cost of the tickets**: The total cost for tickets includes the total amount paid for tickets and the insurance. Therefore, the total cost for the tickets alone is:
\[
530 \text{ dollars (total)} - 60 \text{ dollars (insurance)} = 470 \text{ dollars}
\]
4. **Calculate the cost per ticket**: The total cost of the tickets is $470, and this is for 4 tickets (one for each person). Therefore, the cost per ticket is:
\[
\frac{470 \text{ dollars}}{4 \text{ tickets}} = 117.5 \text{ dollars/ticket}
\]
Thus, the cost of one ticket to the concert is **$117.50**.
1. **Calculate the number of people**: Kirsten and her three friends make a total of 4 people.
2. **Calculate the total insurance cost**: Since the insurance cost is $15 for each person, the total insurance cost for 4 people is:
\[
4 \text{ people} \times 15 \text{ dollars/person} = 60 \text{ dollars}
\]
3. **Calculate the total cost of the tickets**: The total cost for tickets includes the total amount paid for tickets and the insurance. Therefore, the total cost for the tickets alone is:
\[
530 \text{ dollars (total)} - 60 \text{ dollars (insurance)} = 470 \text{ dollars}
\]
4. **Calculate the cost per ticket**: The total cost of the tickets is $470, and this is for 4 tickets (one for each person). Therefore, the cost per ticket is:
\[
\frac{470 \text{ dollars}}{4 \text{ tickets}} = 117.5 \text{ dollars/ticket}
\]
Thus, the cost of one ticket to the concert is **$117.50**.