Subjects algebra

Sofa Sale Price

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1. **State the problem:** We need to find the sale price of a sofa originally priced at 500 with a 15% discount, and then calculate the final price including an 8% sales tax. 2. **Calculate the sales price before tax:** The formula for the sale price after a discount is: $$\text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Rate})$$ Here, the discount rate is 15%, or 0.15. So, $$\text{Sale Price} = 500 \times (1 - 0.15) = 500 \times 0.85 = 425$$ 3. **Calculate the sales price after tax:** Sales tax is applied on the sale price. The formula is: $$\text{Final Price} = \text{Sale Price} \times (1 + \text{Tax Rate})$$ The tax rate is 8%, or 0.08. So, $$\text{Final Price} = 425 \times (1 + 0.08) = 425 \times 1.08 = 459$$ 4. **Answer:** - The sales price before tax is **425**. - The sales price after tax is **459**. This means the sofa costs 459 during the sale including tax.