SOLUTION: Variables on both sides. Population of 2 towns... one town population of 25,500 increases by 2000 per yr. one town population of 47,900 decreases by 800 per year. If the rate r

Question 224063: Variables on both sides.
Population of 2 towns... one town population of 25,500 increases by 2000 per yr. one town population of 47,900 decreases by 800 per year.
If the rate remains the same in what year will both populations be the same.
i need the verbal sentence as an equation and then solve (or I can). I am not sure if my equation is correct. I think the answer is 8 years. thank for your help.
25,500+(nx2000)=47,900-(nx800)
Found 2 solutions by stanbon, nerdybill:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your equations are correct and
your solution is correct.
Cheers,
Stan H.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Your equation:
25,500+(nx2000)=47,900-(nx800)
is correct.
.
However, it would be better written as:
Let n = number of years
then
25500 + 2000n = 47900-800n
.
Solving:
25500 + 2000n = 47900-800n
25500 + 2800n = 47900
2800n = 22400
n = 22400/2800
n = 8 years

RELATED QUESTIONS
The combined population of Town 1 and Town 2 was 25,000 in 1990. By 1995 the population... (answered by nyc_function)
The combined population of Town 1 and Town 2 was 25,000 in 1990. By 1995 the population... (answered by checkley77)
Two small towns are adjacent to one another. Town A has a population of 500 people, while (answered by Alan3354)
Two small towns are adjacent to one another. Town A has a population of 500 people, while (answered by josgarithmetic)
THE POPULATION OF TWO TOWNS ARE CHANGING AT STEADY RATES. ONE TOWN HAS A POPULATION OF... (answered by ankor@dixie-net.com)
I need help for this problem please. Population y of one town x years after the year... (answered by KMST)
the population of a town increases at 5% per annum. the present population is 9261. find... (answered by checkley77)
The populations of Towns A, B, and C vary exponentially with respect to time. The... (answered by greenestamps)
A town has a population growth rate of 10% per year. The population in 1990 was 2000.... (answered by stanbon)