Josie counted 80 antelopes.
The number of rabbits is 34 more than the number of antelopes, so it is 80 + 34 = 114 rabbits.
The combined total of antelopes and rabbits is 80 + 114 = 194.
The number of hyenas is 42 fewer than the combined total of antelopes and rabbits, so it is 194 - 42 = 152 hyenas.
The number of wild dogs is 50 more than the number of hyenas, so it is 152 + 50 = 202 wild dogs.
The number of leopards is half the number of rabbits, so it is 114 / 2 = 57 leopards.
The total number of animals that Josie counted is 80 + 114 + 152 + 202 + 57 = 605 animals.
#### 605
The answer is: 605
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
While on a safari, Josie observed various animals grazing and playing together. She decided to count each species and determine the total number of animals. Josie counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the combined total of antelopes and rabbits, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What is the total number of animals that Josie counted?

### Answer:
