Question

A local humane society houses 300 animals the ratio of cats to all animals is 7 : 15. Write a proportion that gives the number of cats.b. How many cats are in the humane society

Answer 1

To find the number of cats in the humane society, set up a proportion using the given ratio. Solve for 'c' using cross-multiplication and division. Substitute the value of 't' and calculate 'c' to find the number of cats.

Step-by-step explanation:

To find the number of cats in the humane society, we need to set up a proportion using the ratio of cats to all animals given in the question.

Let's denote the number of cats as 'c' and the total number of animals as 't'. The ratio of cats to all animals is 7 : 15. This can be written as:

c / t = 7 / 15

To solve for 'c', we can cross-multiply and then divide:

c = (7 / 15) * t

Substituting the value of 't' as 300 (the total number of animals):

c = (7 / 15) * 300

c ≈ 140

Therefore, there are approximately 140 cats in the humane society.

Answer 2

If we have 300 animals total, and the ratio of cats to all animals is 7 : 15 or 7/15, we can multiply that fraction/ratio by the total, so 300 * 7 /15 = 20 * 7 = 140.