Ask a New Question
Menu

For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax? Part A Which of the following steps are needed to solve this problem? Select all that apply. (1 point) Responses Subtract 19 from 22 to find out how many more girls than boys went to the concert. Subtract 19 from 22 to find out how many more girls than boys went to the concert. Add 19 and 22 to find the total number of students who attended the concert. Add 19 and 22 to find the total number of students who attended the concert. Add $10 to $256 to find the total cost of the tickets without the tax. Add $10 to $256 to find the total cost of the tickets without the tax. Subtract $10 from $256 to find the total cost of the tickets without the tax.

3 answers

To solve the problem, the following steps are needed:

  1. Add 19 and 22 to find the total number of students who attended the concert. - This step is useful for understanding how many tickets were sold in total, although it's not necessary for calculating the cost per ticket.

  2. Subtract $10 from $256 to find the total cost of the tickets without the tax. - This step is essential for determining the cost of the tickets before tax.

The other options provided (subtracting the number of boys from the number of girls) are not relevant to finding the cost of each ticket, and adding $10 to $256 is incorrect since it would give you an inflated number not needed for determining the cost excluding tax.

So, the correct steps to select are:

  • Add 19 and 22 to find the total number of students who attended the concert.
  • Subtract $10 from $256 to find the total cost of the tickets without the tax.
What was the cost of each ticket, not including the tax? (1 point) Responses $4 $4 $5 $5 $6 $6 $7

To find the cost of each ticket not including the tax, follow these steps:

  1. Determine the total cost of the tickets without tax: \[ \text{Total cost without tax} = \text{Total cost} - \text{Tax} = 256 - 10 = 246 \]

  2. Determine the total number of tickets sold: \[ \text{Total tickets} = 19 + 22 = 41 \]

  3. Calculate the cost per ticket: \[ \text{Cost per ticket} = \frac{\text{Total cost without tax}}{\text{Total tickets}} = \frac{246}{41} = 6 \]

Thus, the cost of each ticket, not including the tax, is $6.