SOLUTION: a gardener is planting 2 types of trees type A is three feet tall and grows at a rate of 15 inches per year type B is four feet tall and grows at a rate of 10 inches per year Al

Algebra.Com
Question 1034452: a gardener is planting 2 types of trees
type A is three feet tall and grows at a rate of 15 inches per year
type B is four feet tall and grows at a rate of 10 inches per year
Algebraically determine exactly how many years it will take for these trees to be the same height.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
y=number of years
.
Height of Type A=36+15y
Height of Type B=48+10y
.
For height Type A to equal height Type B:
Height Type A=Height Type B
36+15y=48+10y . Subtract 36+10y from each side
5y=12
y=5/12
.
ANSWER: It will take 5 months (5/12 years) for the trees to be equal in height.
.

RELATED QUESTIONS

A gardener is planting two types of trees: type A is three feet tall and grows at a rate... (answered by josmiceli)
a gardener is planning two types of rose bushes. a pink rose bush is theee feet tall and... (answered by jorel555)
Dave planted two trees in his yard. one tree is 50 inches tall and grows at a rate of 2... (answered by josmiceli)
A Norfolk pine is 3feet tall and grows at a rate of 1.5 feet per year. How old is the... (answered by Boreal,ikleyn)
A pine tree is currently 9 feet tall and grows 6 inches every year. You plant a new... (answered by ankor@dixie-net.com,macston)
A blue spruce grows an average of 6 in per year. A hemlock grows an average of 4 in per... (answered by checkley75)
You plant a 14 inch hemlock tree in your back yard that grows at a rate of 4 inches per... (answered by scott8148)
You planted a 16-inch hemlock tree that grows at a rate of 4 inches per year. Then 5... (answered by scott8148)
You planted a 16 inch hemlock tree that grows at a rate of 4 inches per year. Then 5... (answered by williamson.family05)