Question

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

How tall are the types of trees that Logan genetically engineered?

Answer 1

The pine is 12 m tall and the fir is 12 m tall

Explanation:

System of Equations

Let's call:

x = height of a pine tree

y = height of a fir tree

The combined height of one fir tree and one pine tree is 21 meters. This leads to the equation:

x + y = 21 [1]

The height of 4 fir trees is 24 meters taller than one pine tree:

4y = x + 24 [2]

From [1]:

x = 21 - y [3]

Substituting in [2]:

4y = 21 - y + 24

Adding y:

5y = 45

Dividing by 5:

y = 9

Substituting in [3]:

x = 21 - 9 = 12

The pine is 12 m tall and the fir is 12 m tall