Question

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered? Each fir tree is meters tall and each pine tree is meters tall.

Answer 1

Height of fir tree = 9 meters

height of pine tree= 12 meters

Explanation:

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.

Let x be the height of fir tree and y be the height of pine tree

`x+y=21`

Subtract x from both sides

`y=21-x`

height of 4 fir trees = pine tree +24

`4x=y+24`

Substitute 21-x or y in the above equation

`4x=21-x+24`

Add x on both sides

`5x=45`

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

`y=21-x`

`y=21-9`

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters