1. **State the problem:** We need to find the difference between the sale prices of two houses. 2. **Calculate the sale price of the first house:** Original price = 194000 Discount = 6.1% = 0.061 Sale price = Original price - (Discount × Original price) = 194000 - 0.061 \times 194000 Calculate the discount value: $$0.061 \times 194000 = 11834$$ Then sale price: $$194000 - 11834 = 182166$$ 3. **Calculate the sale price of the second house:** Original price = 290000 Discount = 11.45% = 0.1145 Sale price = 290000 - 0.1145 \times 290000 Calculate discount value: $$0.1145 \times 290000 = 33205$$ Then sale price: $$290000 - 33205 = 256795$$ 4. **Find the difference between the two sale prices:** $$256795 - 182166 = 74529$$ **Final answer:** The difference between the sale prices of the two houses is $74529$.