The ratio of cats to dogs is 2:3. Five more cats enter the room, and then the ratio is 9:11. How many cats and dogs were in the room to begin with?

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Answer:

"The ratio of the number of cats to dogs is 3:5. How many dogs would there be if there were 12 cats?"

Reworded, this says that "for every 3 cats there are 5 dogs."  Or else you could say, "for every 5 dogs there are 3 cats."

You are given the number of cats=12.  For every 3 cats there are 5 dogs."  That means 50 dogs.

 (3 cats) / (5 dogs) = (12 cats) / (x dogs)

  3 / 5 = 12 / x

   3x = 5*12

    3x = 60

      x = 20 dogs

Or you could write:

  (5 dogs) / (3 cats) = (x dogs) / (12 cats)

    x = 20 dogs.

Step-by-step explanation: