Question 31103: 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?
Found 2 solutions by Paul, ikdeep:
Answer by Paul(988)   (Show Source):
You can put this solution on YOUR website! Lion = x
Giraffe = 6x
Cheetah = 1x/4
(x)+(6x)+(x/4)=450
4x+24x+x=1800
29x=1800
x=62.1
(62.1)6=372.4
62.1/4=15.5
Hence, a lion weights 62.1kg, a cheetach weights 15.5kg and a giaffafe weights 372.4kg.
Paul.
Answer by ikdeep(226)  (Show Source):
You can put this solution on YOUR website! Let weight of full grown giraffe = g
Let weight of full grown lion = l
Let weight of full grown chettah = c
According to first condition i.e. full-grown giraffe is about 6 times heavier than a full grown lion.... we get the equation
g = 6l.................(1)
According to second condition i.e. A full grown cheetah is about one quarter as heavy as a full grown lion.... we get the equation
c = l/4.................(2)
According to third condition i.e. Together, they are about 450kg.... we get the equation ..
g + c + l = 450kg
Putting the values of g and c from (1) and (2)...we get
6l + l/4 + l = 450
solving the LHS and taking the LCM would give us ...
29l/4 = 450
on cross multipication we get ....
29l = 1800
l = 62 kg apporoximately..
Now put the value of l in (1) and (2) we get..
g = 6l
= 6 * 62
= 372kg
c = l/4
= 62/4
= 16 kg appoximately..
therefore lion = 62kg ,,,,giraffe = 372kg and chettah = 16kg...and to verify ,,,if we add their weight adds upto 450kg,,,, which is our third condition in the question...
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