Posted by **Calista** on Monday, January 23, 2012 at 4:38pm.

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?

- Math -
**Steve**, Monday, January 23, 2012 at 5:31pm
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

- Math -
**Calista**, Monday, January 23, 2012 at 6:11pm
could you please tell me why need find a common multiple in this solve problem math ? thanks!

- Math -
**Calista**, Monday, January 23, 2012 at 6:15pm
oh, ye. i got it. thanks for your help!

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