# Math

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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 -

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 -

could you please tell me why need find a common multiple in this solve problem math ? thanks!

• Math -

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

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