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
[tex]P=854+3x[/tex]
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
[tex]P=427+10x[/tex]
Since, populations are equal
so, we can set both equation equal and then we can solve for x
[tex]P=427+10x=854+3x[/tex]
[tex]427+10x=854+3x[/tex]
[tex]7x=427[/tex]
[tex]x=61[/tex]
So,
The number of years that will the two villages have the same number of residents is 61 years
