1. **State the problem:** We need to find the pre-tax cost of the jeans given the final cost including tax is 37.82 and the tax rate is 6.5%.
2. **Formula used:** The final cost including tax is given by:
$$\text{Final Cost} = \text{Pre-tax Cost} \times (1 + \text{Tax Rate})$$
where the tax rate is expressed as a decimal.
3. **Convert the tax rate:**
$$6.5\% = 0.065$$
4. **Set up the equation:**
$$37.82 = \text{Pre-tax Cost} \times (1 + 0.065) = \text{Pre-tax Cost} \times 1.065$$
5. **Solve for the pre-tax cost:**
$$\text{Pre-tax Cost} = \frac{37.82}{1.065}$$
6. **Calculate the value:**
$$\text{Pre-tax Cost} \approx 35.50$$
7. **Interpretation:** The pre-tax cost of the jeans was approximately 35.50.
Pre Tax Cost B4F72C
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