The average height of a giraffe and a baby giraffe is 6m. If the baby giraffe has a height which is 2/3 that of the giraffe, what is the height of the baby giraffe?

Answer 1

the average height of the giraffe is 6 meters.

The baby giraffe is 2/3 of that... so 2/3 * 6 = 4 meters.

Answer 2

We know the average is 6m based on a sample of 2 data points. Thus:

(n₁ + n₂)/2 = 6

We also know that the baby is 2/3 the height of the other giraffe. Thus:

n₁ = (2/3)n₂ *Note, I have defined n₁ as the height of the baby giraffe and n₂ as the height of the other*

Substituting this in to our first equation:

((2/3)n₂ + n₂)/2 = 6

((5/3)n₂)/2 = 6

(5/3)n₂ = 12

n₂ = 36/5

But, we want the height of the baby giraffe (n₁), so:

n₁ = (2/3)*(36/5)

n₁ = 24/5

n₁ = 4.8 m