Answer:
-$156,502.
Step-by-step explanation:
Given:
- The ratio of the first house to the second house = 10:15
After 6 years
- First house will increase by $3556
- The second house increased by $30,825.00
Let the original value of the first house be 10x and the second house be 15x (based on the initial ratio).
After 6 years, the value of the first house increases by $3556, making it 10x + 3556.
The value of the second house increases by $30,825, making it 15x + 30,825.
The new ratio is 3:4, so we can set up the equation:
(10x + 3556) / (15x + 30,825) = 3/4
Note: We're dividing based on the principle of ratio that 10:15 = 10/15
Cross-multiply and simplify:
40x + 14224 = 45x + 92475
Subtract 40x from both sides:
14224 = 5x + 92475
Subtract 92475 from both sides:
-78251 = 5x
Divide by 5:
x = -15650.2
Now, the original value of the first house is 10x:
10(-15650.2) = -$156,502
The calculated original value of the first house is −$156,502. This means there might be an error in the initial assumptions or a mistake in setting up the equations.
So, the original value of the first house is -$156,502.
