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