Question

There are 63 dogs at the dog show. The ratio of the number of large dogs to the number of small dogs is 4:3. How many dogs at the dog show are small dogs?

Answer 1

To find the number of small dogs at the dog show, set up the ratio of large dogs to small dogs and solve for the unknown quantity. In this case, there are 27 small dogs at the dog show.

Step-by-step explanation:

To solve this problem, we can set up the ratio as 4:3. So, let's assume that there are 4x large dogs and 3x small dogs in total. Therefore, the total number of dogs at the dog show can be represented as 4x + 3x = 63. Simplifying this equation, we get 7x = 63. Dividing both sides by 7, we find that x = 9. So, the number of small dogs is 3x = 3 * 9 = 27.

Answer 2

To find the number of small dogs at the dog show, divide the total number of dogs by the sum of the ratio parts and multiply by the share of the small dogs. There are 27 small dogs at the dog show.

Step-by-step explanation:

To find the number of small dogs at the dog show, we need to divide the total number of dogs by the sum of the parts in the ratio and then multiply by the share of the small dogs. In this case, there are 63 dogs, and the ratio of large dogs to small dogs is 4:3.

To find the number of small dogs, we first calculate the sum of the parts in the ratio: 4 + 3 = 7. Then, we divide the total number of dogs by the sum of the ratio parts: 63 / 7 = 9.

Finally, we multiply the share of the small dogs by the total dogs: 3/7 x 63 = 27.

There are 27 small dogs at the dog show.