Question

The ratio of dogs to cats in Simon's neighborhood is 4 : 6. If there are 36 cats in Simon's neighborhood, how many dogs are there?

Answer 1

A ratio like a:b can be represented as a fraction
`(a)/(b)`
Convert the 4:6 ratio to a fraction.

4:6 =
`(4)/(6)`

We want to know how may dogs will be in an area with 36 cats.

You need to make the fraction
`(4)/(6)` equal to the fraction

`(x)/(36)`

The variable x represents the number of dogs there are.

Solve for x.


`(4)/(6) = (x)/(36) \\ \\ ((4)/(6))((36)/(1)) = ((x)/(36))((36)/(1)) \\ \\ 24 = x`

So, there will be 24 dogs if there are 36 cats.

Answer 2

dogs to cats means 4 dogs for every 6 cats

if there are 36 cats. divide that by 6

36/6 = 6 then multiply that by 4 so 6*4 = 24

so 24 dogs