Question

a towns population us 14k, and it is increasing by 160 people per year. a nearby town has a population of 24,000. and it is decreasing by 200 every year. in about how many years will the population of the towns be equal

Answer 1

It will take approximately 27.78 years for the populations of the two towns to become equal.

Step-by-step explanation:

To find out in how many years the population of the two towns will be equal, we need to set up an equation.

Let x be the number of years it takes for the populations to become equal.

The population of the first town can be represented by 14,000 + 160x.

The population of the second town can be represented by 24,000 - 200x.

Setting these two expressions equal to each other, we have:

14,000 + 160x = 24,000 - 200x

Adding 200x to both sides and subtracting 14,000 from both sides:

360x = 10,000

Dividing both sides by 360:

x ≈ 27.78

Therefore, it will take approximately 27.78 years for the populations of the two towns to become equal.

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