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?

The fir trees are 9 meters tall and the pine trees are 12 meters tall

Solution:

Let f be the height of one fir tree

Let p be the height of one pine tree

Given that combined height of one fir tree and one pine tree is 21 meters

So we get,

height of one fir tree + height of one pine tree = 21

f + p = 21 eqn 1

Also given that height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree

height of 4 fir trees stacked on top of each other  = 24 + height of one pine tree

4f = 24 + p eqn 2

Let us solve eqn 1 and eqn 2 to find values of "f and "p"

From eqn 1,

f = 21 - p eqn 3

Substitute eqn 3 in eqn 2

4(21 - p) = 24 + p

84 - 4p = 24 + p

-4p - p = 24 - 84

-5p = - 60

Substitute p = 12 in eqn 3

f = 21 - 12 = 9

Summarizing the results:

height of one fir tree = 9 meters

height of one pine tree = 12 meters

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step-by-step explanation:

step-by-step explanation:

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