weight of animals
The combined weight of 4 cats, 1 squirrel and 2 dogs is 48.6 kilograms. The combined weight of 2 cats, 3 squirrels and 3 dogs is 57.8 kilograms. The combined weight of 2 cats, 4 squirrels and 3 dogs is 58.4 kilograms. What is the combined weight of 2 cats, 2 squirrels and 2 dogs in kilograms?
The answer is 41.2.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
let c = weight of 1 cat, s = weight of 1 squirrel, and d = weight of 1 dog
then we have the three equations,
4 c + s + 2 d = 4 8 . 6 (1)
2 c + 3 s + 3 d = 5 7 . 8 (2)
2 c + 4 s + 3 d = 5 8 . 4 (3)
Adding the three equations gives
8 c + 8 s + 8 d = 1 6 4 . 8
Dividing both sides by 4 , gives
2 c + 2 s + 2 d = 4 1 . 2 k i l o g r a m s