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1. Deer were sampled at the beginning and at the end of the hunting season as follows:

- **Beginning:**
- Fauns: 80
- Adults: 100
- Total: 180

- **End:**
- Fauns: 50
- Adults: 100
- Total: 150

A survey revealed that 250 fauns and 60 adults were killed during this season. Estimate the deer population before and after the hunting season.

2. A sample of trout caught in a pond included:

- 400 small fish and 100 adult fish (of adequate size).
- The 400 small fish were then returned to the pond.
- In addition, 1000 small fish were put in the pond.
- A few days later, another catch totaled 410 small fish and 80 adult fish.

Estimate the number of trout in the pond after the second catch.

Answer :

The total number of trout in the pond after the second catch is 1410 + 180 = 1590.

**(1)** The deer population before the hunting season was 180 + 250 + 60 = 490.

The deer population after the hunting season was 150 + 250 + 60 = 460.

**(2)** The number of trout in the pond after the second catch is 410 + 1000 + 100 = 1510.

Here is a more detailed explanation:

**(1)** The number of fauns killed during the hunting season is 80 - 50 = 30.

The number of adults killed during the hunting season is 100 - 100 = 0.

The total number of deer killed during the hunting season is 30 + 0 = 30.

Therefore, the deer population before the hunting season is 180 + 30 = 490.

The number of deer remaining after the hunting season is 150 + 30 = 180.

**(2)** The number of small trout in the pond after the second catch is 410 + 1000 = 1410.

The number of adult trout in the pond after the second catch is 80 + 100 = 180.

Therefore, the total number of trout in the pond after the second catch is 1410 + 180 = 1590.

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