Respuesta :
Answer:
There are 36 small dogs signed up to compete in dog show.
Step-by-step explanation:
Given:
Total number of dogs signed up to compete in dog show = 49
We need to find the number of small dogs signed up to compete.
Solution:
Let the number of large dogs signed up to compete in dog show be [tex]'x'[/tex].
Now given:
There are 36 more small dogs than large dogs signed up to compete.
So we can say that;
Number of small dogs = [tex]x+36[/tex]
Now we know that;
Total number of dogs signed up to compete in dog show is equal to sum of number of large dogs and Number of small dogs.
framing in equation form we get;
[tex]x+x+36=49\\\\2x+36=49[/tex]
Subtracting both side by 36 we get;
[tex]2x+36-36=49-36\\\\2x=13[/tex]
Dividing both side by 2 we get;
[tex]\frac{2x}{2}=\frac{13}{2}\\\\x=6.5[/tex]
Now we get the answer as decimal but the number of dogs cannot be in decimal.
Hence We will assume Number of large dogs be 6.
Number of small dogs = [tex]x+36=6+36 =42[/tex]
Let us assume the 1 dog remaining be medium size dog.
Hence There are 36 small dogs signed up to compete in dog show.
