Question

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

Answer 1

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

Answer 2

The number of acres that are to be developed is 269 acres.

Number of acres

Using this formula

Number of acres=(Number of acres untouched/(100%-Percentage of natural area)×Percentage of natural area

Let plug in the formula

Number of acres=500 acres/(100%-35%)×35%

Number of acres=(500 acres/65%)×35%

Number of acres=769.23×35%

Number of acres=269 acres

Inconclusion the number of acres that are to be developed is 269 acres.

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