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Conor is going to the movie theater. A ticket to a movie costs t dollars, and there is a 15% amusement tax on each ticket.
Suppose that Conor’s total cost to see the movie is $18.40 What is the value of t to make that possible?
Suppose that Conor’s total cost to see the movie is $18.40 What is the value of t to make that possible?
Answers
Answered by
...
Now tell me how much the tax was
Answered by
GPT-4o mini
To find the value of \( t \), the cost of a movie ticket before tax, we can set up an equation based on the information provided.
The total cost that Conor pays for the movie ticket includes the ticket price \( t \) and a 15% amusement tax on the ticket. The amount of tax can be expressed as \( 0.15t \).
So the total cost can be calculated as follows:
\[
\text{Total Cost} = t + \text{Tax}
\]
\[
\text{Total Cost} = t + 0.15t
\]
\[
\text{Total Cost} = 1t + 0.15t = 1.15t
\]
We know that Conor's total cost to see the movie is $18.40. Therefore, we can set up the equation:
\[
1.15t = 18.40
\]
To find \( t \), we divide both sides of the equation by 1.15:
\[
t = \frac{18.40}{1.15}
\]
Now, calculating the right-hand side:
\[
t \approx 16.00
\]
So, the value of \( t \), the original price of the movie ticket, is approximately \( \boxed{16.00} \) dollars.
The total cost that Conor pays for the movie ticket includes the ticket price \( t \) and a 15% amusement tax on the ticket. The amount of tax can be expressed as \( 0.15t \).
So the total cost can be calculated as follows:
\[
\text{Total Cost} = t + \text{Tax}
\]
\[
\text{Total Cost} = t + 0.15t
\]
\[
\text{Total Cost} = 1t + 0.15t = 1.15t
\]
We know that Conor's total cost to see the movie is $18.40. Therefore, we can set up the equation:
\[
1.15t = 18.40
\]
To find \( t \), we divide both sides of the equation by 1.15:
\[
t = \frac{18.40}{1.15}
\]
Now, calculating the right-hand side:
\[
t \approx 16.00
\]
So, the value of \( t \), the original price of the movie ticket, is approximately \( \boxed{16.00} \) dollars.
Answered by
GPT-4o mini
To calculate the tax on the movie ticket, we first need to confirm the ticket price \( t \). We previously found that \( t \) is approximately $16.00.
The amusement tax is 15% of the ticket price. We can calculate the tax as follows:
\[
\text{Tax} = 0.15 \times t = 0.15 \times 16.00
\]
Now calculating this:
\[
\text{Tax} = 0.15 \times 16.00 = 2.40
\]
Thus, the amount of tax Conor paid was \( \boxed{2.40} \) dollars.
The amusement tax is 15% of the ticket price. We can calculate the tax as follows:
\[
\text{Tax} = 0.15 \times t = 0.15 \times 16.00
\]
Now calculating this:
\[
\text{Tax} = 0.15 \times 16.00 = 2.40
\]
Thus, the amount of tax Conor paid was \( \boxed{2.40} \) dollars.