To solve the problem, we first need to focus on the steps required to find the cost of each ticket excluding the tax.
Part A: Which of the following steps are needed to solve this problem? Select all that apply.
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Subtract 19 from 22 to find out how many more girls than boys went to the concert.
- Not needed for finding the ticket price.
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Add 19 and 22 to find the total number of students who attended the concert.
- Not necessary to find the cost per ticket directly.
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Add $10 to $256 to find the total cost of the tickets without the tax.
- Incorrect; this is not needed.
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Subtract $10 from $256 to find the total cost of the tickets without the tax.
- Needed. This step gives us the total cost of the tickets before tax.
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Divide $256 by 10 to find the total cost of the tickets without the tax.
- Incorrect; this is not needed.
So, the only necessary action is to:
- Subtract $10 from $256.
Now for Part B: What was the cost of each ticket, not including the tax?
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First, we calculate the total cost of the tickets without tax: \[ \text{Total cost without tax} = 256 - 10 = 246 \]
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Next, we find the total number of tickets purchased by the boys and girls: \[ \text{Total tickets} = 19 + 22 = 41 \]
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Now we divide the total cost without tax by the number of tickets to find the cost of each ticket: \[ \text{Cost of each ticket} = \frac{246}{41} = 6 \]
Thus, the cost of each ticket, not including the tax, is $6.
The answer to Part B is $6.