Question

Question: How many small dogs are signed up to compete in the dog show?

Answer 1

36

Explanation:

cuz there are 49 dogs and 36 more smaller dogs that sighed up and it asks how many dogs are sighed up to compete

Answer 2

`S=42(1)/(2)` small dogs

Explanation:

Let
`L` be the number of large dogs and
`S` be the number of small dogs.

Since it is given that the toal number of dogs that signed up is 49, this makes our first equation
`L+S=49`.

Also, there are 36 more small dogs than large dogs that signed up to compete, so this makes our second equation
`S=L+36`.

Since the value of
`S` is already solved in our second equation, we can plug it into the first equation and solve for
`L`:

`L+S=49`

`L+(L+36)=49`

`L+L+36=49`

`2L+36=49`

`2L=13`

`L=(13)/(2)`

`L=6(1)/(2)`

Now plug the value of
`L` into either equation and solve for
`S`:

`S=L+36`

`S=(13)/(2)+36`

`S=(85)/(2)`

`S=42(1)/(2)`

Even though the answer isn't realistic, it's still correct.