Answer:
The number of years that will the two villages have the same number of residents is 61 years
Step-by-step explanation:
Let's assume number of years as 'x'
First Pond:
Fresh pond has a population of 854
and it’s increasing by 3 people per year
so, we can find equation for population of first pound
![P=854+3x](https://tex.z-dn.net/?f=P%3D854%2B3x)
Second pond:
Strawberry has a population of 427
and it’s increasing by 10 people per year
so, we can find equation for population of first pound
![P=427+10x](https://tex.z-dn.net/?f=P%3D427%2B10x)
Since, populations are equal
so, we can set both equation equal and then we can solve for x
![P=427+10x=854+3x](https://tex.z-dn.net/?f=P%3D427%2B10x%3D854%2B3x)
![427+10x=854+3x](https://tex.z-dn.net/?f=427%2B10x%3D854%2B3x)
![7x=427](https://tex.z-dn.net/?f=7x%3D427)
![x=61](https://tex.z-dn.net/?f=x%3D61)
So,
The number of years that will the two villages have the same number of residents is 61 years