SOLUTION: There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbi      Log On


   



Question 591609: There are originally 265 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbits per year. Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes?
Years
How many of each animal will be present at that time?
foxes
rabbits
Thank you for your help!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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There are originally 265 foxes and 104 rabbits on a particular game reserve.
The fox population grows at a rate of 36 foxes per year, and the rabbits increase at a rate of 65 rabbits per year.
Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes?
:
Let y = no. of yrs for them to be equal
:
Rabbits = Foxes
65y + 104 = 36y + 265
65y - 36y = 265 - 104
29y = 161
y = 161/29
y = 5.55 yrs
:
How many of each animal will be present at that time?
65(5.55) + 104 ~ 465 rabbits
36(1.55) + 265 ~ 465 foxes