Asked by Dalisay

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?
Answered by Reiny
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.
Answered by Dalisay
That's the exact words on the problem.
Answered by Dalisay
That's the exact words on the problem.is there anyone can help pls?
Answered by Reiny
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
Answered by Dalisay
That's the exact words on the problem.is there anyone can help pls?
Answered by Anonymous
12/6
Answered by cazhmeire
i don't see the answer though
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