Question

percent problems the percent change formula is the difference divided by the original x 100. if 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed? approximately 269.23 acres will be developed.

Answer 1

The total area before development, where 65% represents the remaining 500 acres, is approximately 769.23 acres. Therefore, the developed area, which is 35% of the total, is about 269.23 acres.

Step-by-step explanation:

The question is asking us to calculate the number of acres that will be developed if 35% of a natural area is going to be used, with 500 acres remaining undeveloped. To find the answer, we use the concept of percentage calculations. We start with the understanding that a percent represents a ratio with a denominator of 100. For example, 35% can be expressed as 35/100.

To calculate the total acres before the development, let's denote the total area as X. If 35% of this area is developed, then 65% of X is left undeveloped. This can be set up as an equation:

65% of total area (X) = 500 acres
65/100 * X = 500
X = 500 / (65/100)
X = 500 / 0.65
X = 769.23 acres (approximately)

Now, to find the area to be developed, which is 35% of the total area, we calculate:

35% of total area (X) = 35/100 * 769.23
Approximately 269.23 acres will be developed.