A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 19 inches per year. Type B is 4 feet tall and grows at a rate of 25 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

It'll take 12 years

Step-by-step explanation:

Given

Type A:

Type B:

Required

Determine the years they'll reach the same height

First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):

Type A:

Type B:

The height at any year from both trees is calculated using

Where x represents the year;

For Type A:

For Type B:

To get when their height will be equal, we simply equate both expressions:

Collect Like Terms

Solve for x

Hence, It'll take 12 years