Logan genetically engineered a new type of fir tree and a new type of pine tree. 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?

Question

Mathematics

Shamar Bauer

27 November, 15:43

Logan genetically engineered a new type of fir tree and a new type of pine tree. 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?

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Answers (1)

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Keyon Schultz · Answer 1

Let f be the height of the fir trees

Let p be the height of the pine trees

We know from the problem that

f + p = 21 and 4f = 24 + p

rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation

so ...

f + 4f - 24 = 21

5f - 24 = 21

5f = 45

f = 9 - height of the fir tree

substitute back into the 1st equation

9 + p = 21

p = 12 - height of the pine tree