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
[tex]c = \frac{1}{4} \times b\\\\c = \frac{b}{4} ----- eqn\ 2[/tex]
Together, they are about 450 kg
Therefore,
a + b + c = 450
Substitute eqn 1 and eqn 2 in above
[tex]6b + b + \frac{b}{4} = 450\\\\24b + 4b + b = 450 \times 4\\\\29b = 1800\\\\b = 62.07[/tex]
Substitute b = 62.07 in eqn 1
[tex]a = 6(62.07)\\\\a = 372.42[/tex]
Substitute b = 62.07 in eqn 2
[tex]c = \frac{62.07}{4} = 15.51[/tex]
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
