SOLUTION: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have
Log On
Question 165797: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have the same population? Found 2 solutions by Fombitz, MRperkins:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! "Gondor is 3020 and is dropping by 12 people per year"
"Shire is 824 and is increasing by 5 hobbits per year"
Set the two populations equal to each other and solve for Y.
.
.
.
It's not an exact year, around the second month in the 129th year.
Around then, each village will have 1470 inhabitants.
You can put this solution on YOUR website! Population of Gondor=3020-12x
Population of Shire=824+5x
.
We want to know when they will equal the same population so set the two equations = to each other
so...
.
Get all the x's on the same side
since we have -12x on the left, add 12x to both sides (whatever you do on one side you have to do to the other side)
.
you get:
combine like terms
.
you get:
subtract 824 from both sides
.
you get:
combine like terms
.
you get:
divide each side by 17
.
you get
This reduces to and the decimal is 129.1764 or 129.18 years
.
Therefore the populations of Gondor and Shire will be equal in 129.18 years.
.
tutoring available
contact justin.sheppard.tech@hotmail.com for more information
