If 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed?

If 35% of the area is already developed, the remaining undeveloped percentage is:
100 - 35
= 65%
Thus, the amount of land left to be developed will be:
35/65*500
= 269.23 acres
the answer is 269.23

Result:

Acres to be developed = 269.23 acres

Step-by-step breakdown:

Let A represent the total acres of the natural area slated for development.

When 35% of A acres are developed, the remaining area will be (100 - 35 = 65%).

The question specifies that 65% of A (the untouched acres) amounts to 500 acres.

This indicates the total natural area equals 769.23 acres.

Consequently, the area designated for development, which is 35% of A, is calculated as A×35%.

Thus, the area of the natural land that will be developed is 269.23 acres.