Question

A gardener is planting two 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 ata rate of 10 inches per year.Algebraically determine exactly many years it will take for these trees to be the same heighthow

Answer 1

First, construct two equations.
Then, equal the two equations to each other like this -

x will be the years.

Type A. Type B

3x + 15 = 4x + 10
- 15. - 15

3x = 4x - 5
-4x. -4x

-x = -5
-x/-1 = -5/-1
x = 5

Check:

3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30

Therefore, the trees will be the same height in 5 years.