Answer :
Sure, let's break it down step-by-step.
### Step-by-Step Solution:
1. Identify the total cost including tax:
The total cost for the shirts including tax is [tex]$890. 2. Identify the amount spent on tax: The total tax amount included in the $[/tex]890 is [tex]$50. 3. Determine the number of shirts purchased: The number of shirts bought is 35. 4. Calculate the total cost without tax: We subtract the tax amount from the total cost to find out how much was spent on the shirts themselves, excluding tax. \[ \text{Total cost without tax} = \text{Total cost} - \text{Tax} = 890 - 50 = 840 \] 5. Determine the price per shirt before tax: To find the cost of one shirt before tax was added, we divide the total cost without tax by the number of shirts. \[ \text{Price per shirt before tax} = \frac{\text{Total cost without tax}}{\text{Number of shirts}} = \frac{840}{35} = 24.0 \] ### Expression: To express the problem mathematically: \[ \text{Price per shirt before tax} = \frac{\text{Total cost} - \text{Tax}}{\text{Number of shirts}} \] ### Solution: Inserting the given values into the expression: \[ \text{Price per shirt before tax} = \frac{890 - 50}{35} = \frac{840}{35} = 24.0 \] So, the price of one shirt before tax was added is $[/tex]24.00.
### Step-by-Step Solution:
1. Identify the total cost including tax:
The total cost for the shirts including tax is [tex]$890. 2. Identify the amount spent on tax: The total tax amount included in the $[/tex]890 is [tex]$50. 3. Determine the number of shirts purchased: The number of shirts bought is 35. 4. Calculate the total cost without tax: We subtract the tax amount from the total cost to find out how much was spent on the shirts themselves, excluding tax. \[ \text{Total cost without tax} = \text{Total cost} - \text{Tax} = 890 - 50 = 840 \] 5. Determine the price per shirt before tax: To find the cost of one shirt before tax was added, we divide the total cost without tax by the number of shirts. \[ \text{Price per shirt before tax} = \frac{\text{Total cost without tax}}{\text{Number of shirts}} = \frac{840}{35} = 24.0 \] ### Expression: To express the problem mathematically: \[ \text{Price per shirt before tax} = \frac{\text{Total cost} - \text{Tax}}{\text{Number of shirts}} \] ### Solution: Inserting the given values into the expression: \[ \text{Price per shirt before tax} = \frac{890 - 50}{35} = \frac{840}{35} = 24.0 \] So, the price of one shirt before tax was added is $[/tex]24.00.
