Question

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

Answer 1

Given that the 35% of area has been developed, the percentage of land that has not been developed is:
100-35
=65%
hence the acres of land that are to be developed will be:
35/65*500
=269.23 acres
the answer is 269.23

Answer 2

Answer:

Area to be developed = 269.23 acres

Step-by-step explanation:

Let there is A acres natural area to be developed.

If 35% of A acres is developed then untouched area will be (100 - 35 = 65%)

Now it has been given in the question that 65% of A (untouched area) = 500 acres

$A.\frac{65}{100}=500$

$A=\frac{500}{0.65}=769.23$

So area of the natural field = 769.23 acres

Now 35% of the natural area which is to be developed = A×35%

$=769.23.\frac{35}{100}=(769.23)(.35)=269.23$

Area of the natural area to be developed is 269.23 acres