Let the number of large dogs = x.
Given 36 more small dogs than large dogs.
So number of small dogs = [tex] x+36 [/tex]
Given total 49 dogs signed up for dog show.
So we can write the equation as small dogs + large dogs = total dogs.
[tex] (x)+(x+36) = 49 [/tex]
[tex] x+x+36 = 49 [/tex]
[tex] 2x+36 = 49 [/tex]
We have to move 36 to the other side now by subtracting it from both sides.
[tex] 2x+36-36 = 49-36 [/tex]
[tex] 2x = 49-36 [/tex]
[tex] 2x = 13 [/tex]
To get x, we have to move 2 to the other side by dividing it to both sides.
[tex] (2x)/2 = 13/2 [/tex]
[tex] x = 6.5 [/tex]
So there are 6.5 large dogs are signed up.
Number of small dogs = [tex] 6.5+36 = 42.5 [/tex]
So there are 42.5 small dogs.
But there can not be a decimal number for number of dogs.
