Question

The ratio of cats to dogs at the animal shelter is 5:6. If there are 72 dogs how many cats are there

Answer 1

Ratio = 5:6.
Let the common ratio be x, then ratio = 5x:6x.

Given, there are 72 dogs.

So,

6x = 72.

Transposing 6 to RHS:

x = 72/6.
x = 12.

So, as we found out the common ratio, we need to multiply it with the ratio of cats to find the number of cats in the animal shelter.

So, number of cats = 5x = 5*12 = 60.

Therefore, there are 60 cats in the animal shelter.

Answer 2

60 Cats are there
Because
5:6::x:72 then, 5×72=6x or 5×72/6 or 60