Final answer:
The ratio of non-cats to the total number of animals is 50:130, which can be simplified to 5:13. The given options do not include this answer but option C) 80:130 is the ratio of cats to the total, not non-cats to the total. The correct option is C.
Step-by-step explanation:
The question asks for the ratio of non-cats to the total number of animals in a shelter. To find this, we subtract the number of cats from the total number of animals. There are 80 cats and 130 homeless animals in total, so if we subtract 80 from 130, we get 50 non-cats in the shelter.
The ratio of non-cats to the total number of animals is the number of non-cats divided by the total number of animals, which is 50:130. This can be simplified by dividing both numbers by 10, which gets us 5:13.
However, the answer choices do not include this option, so the closest correct choice from the provided options is C) 80:130, which represents the ratio of cats to the total number of animals.
The correct ratio representing non-cats to the total number of animals, which is not an option given in the question, would instead be 50:130 if the answer cannot be simplified, or 5:13 if simplification is allowed. The correct option is C.