Question

A towns population is 43,425 about 125 move out of the town each month each month 200 people every move into town a nearby town has a population of 45,000 it has no one moving in in an average of 150 people movie away every month in about how many months with a population of the town be equal right in equation that represents the situation and solve

Answer 1

After 7 months months the population of both the town will be equal.

Solution-

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

`43425+200x-125x = 43425+75x`

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

`45000-150x`

when the population of both of the towns are same,then

`43425+75x=45000-150x`

`\Rightarrow225x=45000-43425=1575`

`\Rightarrow x=7`