To find out the number of small dogs that have signed up to compete, we first need to calculate the number of large dogs. Since there are 36 more small dogs than large dogs, we can set up the following equation:
Let x be the number of large dogs signed up. Therefore, the number of small dogs signed up would be x + 36.
Given that there are 49 dogs signed up in total: x + (x + 36) = 49 2x + 36 = 49 2x = 49 - 36 2x = 13 x = 6.5
Since we can't have half a dog, this tells us that the number of large dogs (x) is 6. Therefore, the number of small dogs signed up to compete is: 6 (large dogs) + 36 = 42 small dogs.
