You figure that you will buy property many times and you endeavor to work out a formula that will tell you the price of the land and the price of the buildings any time.

So suppose the price for the land and buildings combined is S (for "sum") and the land costs D (for "difference") more than the buildings.

Then the price of the buildings is ___ dollars and the price of the land is ____ dollars.

How would i create formulas for this in terms of S and D?

Buildings = S - D dollars

Land = D dollars

To create a formula for calculating the price of the buildings and the price of the land in terms of S (sum) and D (difference), we can use the following steps:

1. Define the equation: Let's assume that the price of the buildings is B and the price of the land is L.
- Equation 1: B + L = S (sum equation)
- Equation 2: L = B + D (difference equation)

2. Solve the system of equations: To determine the values of B and L, we can substitute Equation 2 into Equation 1.

Substituting L = B + D into Equation 1:
B + (B + D) = S
2B + D = S
2B = S - D
B = (S - D) / 2

3. Now that we have the value for B, replacing it into Equation 2 will allow us to find L.

L = B + D
L = (S - D) / 2 + D
L = S/2 + D/2 + D
L = S/2 + 3D/2

4. Final formulas:
- The price of the buildings (B) is (S - D) / 2 dollars.
- The price of the land (L) is S/2 + 3D/2 dollars.

These formulas will provide you with the price of the buildings and the price of the land given the sum of the two (S) and the difference between the land and the buildings (D).