Sale Price Difference
1. **State the problem:** We need to find the difference between the sale prices of two houses. Each house has an original price and a percentage discount offer. We will calculate the sale price for each house and then find their difference.
2. **Calculate the sale price for the first house:**
- Original price = 194000
- Discount = 6.1% = 0.061
Sale price = Original price \times (1 - discount)
$$ 194000 \times (1 - 0.061) = 194000 \times 0.939 = 182166 $$
3. **Calculate the sale price for the second house:**
- Original price = 290000
- Discount = 11.45% = 0.1145
Sale price = Original price \times (1 - discount)
$$ 290000 \times (1 - 0.1145) = 290000 \times 0.8855 = 256795 $$
4. **Find the difference between the sale prices:**
$$ 256795 - 182166 = 74629 $$
**Answer:** The difference between the sale prices of the two houses is 74629.