Jamie has 4 Persian cats and 2 Maine Coons, so Jamie has a total of 4 + 2 = 6 cats.
Gordon has half as many Persians as Jamie, so Gordon has 4 / 2 = 2 Persians.
Gordon also has one more Maine Coon than Jamie, so Gordon has 2 + 1 = 3 Maine Coons.
Therefore, Gordon has a total of 2 + 3 = 5 cats.
Hawkeye has one less Maine Coon than Gordon, so Hawkeye has 3 - 1 = 2 Maine Coons.
Hawkeye does not have any Persian cats, so Hawkeye has a total of 2 cats.
When they bring all of their cats together to play, there are 6 + 5 + 2 = 13 cats in total.
#### 13
The answer is: 13
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Jamie has 4 Persian cats and 2 Maine Coons, and Gordon has half as many Persians and one more Maine Coon than Jamie, and Hawkeye has one less Maine Coon than Gordon and no Persian cats, how many cats are there in total when they bring all of their cats together to play?

### Answer:
