Math
posted by Calista .
An animal shelter have 1008 cats, dogs, and rabbits. The ratio of the number of dogs to the number of cats in the animal shelter is 3:7. The ratio of the number of rabbits to the number of dogs is 2:5.
How many rabbits are there in the shelter?

d:c = 3:7
r:d = 2:5
find a common multiple for d
d:c = 15:35
r:d = 6:15
r:d:c = 6:15:35
1008/(6+15+35) = 18
so, there are
6*18 = 108 rabbits
15*18 = 270 dogs
35*18 = 630 cats 
could you please tell me why need find a common multiple in this solve problem math ? thanks!

oh, ye. i got it. thanks for your help!