1. **Problem statement:** An article originally priced at $700 is discounted by 20%. We need to find (a) the amount of the discount, (b) the final cost after the discount, and (c) the final cost after adding a 6% sales tax on the discounted price. 2. **Formula and rules:** - Discount amount = Original price \times Discount rate - Final cost after discount = Original price - Discount amount - Final cost after tax = Final cost after discount \times (1 + Tax rate) 3. **Calculations:** (a) Discount amount: $$\text{Discount} = 700 \times 0.20 = 140$$ (b) Final cost after discount: $$\text{Final cost} = 700 - 140 = 560$$ (c) Final cost after including 6% sales tax: $$\text{Final cost with tax} = 560 \times (1 + 0.06) = 560 \times 1.06 = 593.60$$ 4. **Explanation:** - The discount reduces the price by 20%, which is $140. - Subtracting the discount from the original price gives $560. - Adding 6% sales tax means multiplying the discounted price by 1.06, resulting in $593.60. **Note:** The previously given answer $526.40 is incorrect for part (c). The correct final cost including tax is $593.60.