Question

There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?

Answer 1

There are 42 small dogs signed up to compete.

Step-by-step explanation:

To find the number of small dogs signed up for the dog show, we can set up an equation using the given information. Let's say the number of large dogs is x.

According to the problem, the number of small dogs is 36 more than the number of large dogs, so the number of small dogs would be x + 36.

The total number of dogs signed up is 49, so we can write the equation as x + x + 36 = 49.

Combining like terms, we get 2x + 36 = 49.

Subtracting 36 from both sides, we have 2x = 13.

Finally, dividing both sides by 2, we find x = 6.5.

Since we can't have a fractional number of dogs, we round down to the nearest whole number, which gives us x = 6.

Therefore, there are 6 large dogs and 6 + 36 = 42 small dogs signed up for the dog show.