Question

Fresh pond has a population of 854 and it’s increasing by 3 people per year. Strawberry has a population of 427 and it’s increasing by 10 people per year. In how many years will the two villages have the same number of residents?

Answer 1

The number of years that will the two villages have the same number of residents is 61 years

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`

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`

Since, populations are equal

so, we can set both equation equal and then we can solve for x

`P=427+10x=854+3x`

`427+10x=854+3x`

`7x=427`

`x=61`

So,

The number of years that will the two villages have the same number of residents is 61 years