SOLUTION: You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8-inch blue spruce that grows at a rate of 6 inches per year. In how many years

Algebra ->  Rate-of-work-word-problems -> SOLUTION: You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8-inch blue spruce that grows at a rate of 6 inches per year. In how many years       Log On


   



Question 175554This question is from textbook
: You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8-inch blue spruce that grows at a rate of 6 inches per year. In how many years after you plant the trees will the two trees be the same height? How tall will each tree be?
Need help to set up the problem correctly. Thank You.
This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
height of hemlock:lets call h
height of spruce :lets call s
call time t
:
h=4t+14
:
s=6t+8
:
we want to know when those will be equal in other words when h=s. So set the equation values of each of those equal to each other
:
4t+14=6t+8
:
2t=6
:
highlight%28t=3%29years
:
highlight%28h=4%283%29%2B14=26%29inches
highlight%28s=6%283%29%2B8=26%29inches
: