A full-grown giraffe is about 6 times heavier than a full-grown lion. A full-grown cheetah is about one-quarter as heavy as a full-grown lion. Together, they are about 450kg. What is the approximate mass of each animal?

Answer:

sorry i dont know

Step-by-step explanation:

The mass of full grown giraffe is 372.42 kg and mass of full grown lion is 62.07 kg and mass of full grown cheetah is 15.51 kg

Solution:

Let "a" be the mass of full grown giraffe

Let "b" be the mass of full grown lion

Let "c" be the mass of full grown cheetah

A full-grown giraffe is about 6 times heavier than a full-grown lion

a = 6b ------- eqn 1

A full-grown cheetah is about one-quarter as heavy as a full-grown lion

\begin{gathered}c = \frac{1}{4} \times b\\\\c = \frac{b}{4} ----- eqn\ 2\end{gathered}

c=

4

1

×b

c=

4

b

−−−−−eqn 2

Together, they are about 450 kg

Therefore,

a + b + c = 450

Substitute eqn 1 and eqn 2 in above

\begin{gathered}6b + b + \frac{b}{4} = 450\\\\24b + 4b + b = 450 \times 4\\\\29b = 1800\\\\b = 62.07\end{gathered}

6b+b+

4

b

=450

24b+4b+b=450×4

29b=1800

b=62.07

Substitute b = 62.07 in eqn 1

\begin{gathered}a = 6(62.07)\\\\a = 372.42\end{gathered}

a=6(62.07)

a=372.42

Substitute b = 62.07 in eqn 2

c = \frac{62.07}{4} = 15.51c=

4

62.07

=15.51

Thus, mass of full grown giraffe is 372.42 kg and mass of full grown lion is 62.07 kg and mass of full grown cheetah is 15.51 kg

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