The ratio of the number of cats to the number of dogs in an animal shelter was 2:3. After 120 cats were adopted, the ratio of the number of cats to the number of dogs became 3:7. Find the total number of cats and dogs in the animal shelter in the end?

That's the exact words on the problem.is there anyone can help pls?

12/6

i don't see the answer though

That's the exact words on the problem.is there anyone can help pls?

ok, the cat's were adopted, that means the count was reduced by 120, not increased.

I read the question incorrectly

number of cats after adoption = 2x - 120

make the simple change in the equation and solve

number of cats ---- 2x

number of dogs ----3x

after adoption:
number of cats = 2x + 120

(2x+120) : 3x = 3 : 7
(2x+120)/(3x) = 3/7
14x + 840 = 9x
5x = -840
x is a negative, which is not possible.

notice 2:3 = .66..
and 3:7 = .42 , which is < 2/3
How can the ratio of cats : dogs decrease after the number of cats increased?
Check the wording of your question.

That's the exact words on the problem.