Certainly! Let's solve this step-by-step based on the constraints provided.
1. Identify the given constraints:
- David is studying a mammal.
- Ping is not studying a mammal.
- The animal that Mandy is studying can be found in the ocean.
- The animal that Alan is studying is slower than the animal that David is studying.
2. List the animals and their properties:
- Elephant: 25 mph, Mammal, Grasslands
- Sailfish: 68 mph, Fish, Oceans
- Giraffe: 32 mph, Mammal, Grasslands
- Dolphin: 30 mph, Mammal, Oceans
3. Match constraints with animals:
- David is studying a mammal. Possible mammals: Elephant, Giraffe, Dolphin
- Ping is not studying a mammal. Possible animal: Sailfish (since Sailfish is the only fish)
- Mandy is studying an ocean animal. Possible ocean animals: Sailfish, Dolphin
- Alan's animal is slower than David's animal.
Now, we start assigning animals:
4. Assign Ping's animal:
- Ping is not studying a mammal, so Ping must be studying the Sailfish.
5. Assign Mandy's animal:
- Mandy is studying an ocean animal. Possible animals left for Mandy are Sailfish and Dolphin.
- Since Ping is already studying Sailfish, Mandy must be studying the Dolphin.
6. Assign David's animal:
- David is studying a mammal. Possible mammals left are Elephant and Giraffe.
7. Assign Alan's animal:
- Alan's animal is slower than David's animal.
- If David studies the Giraffe (32 mph), Alan's animal must be slower than 32 mph. Possible choices are Elephant (25 mph).
- If David studies the Elephant (25 mph), there won't be any mammal slower than 25 mph for Alan.
- Therefore, David must study the Giraffe, so Alan can study the Elephant.
8. Finalize assignments:
- David studies the Giraffe (mammal, 32 mph).
- Ping studies the Sailfish (fish, 68 mph).
- Mandy studies the Dolphin (mammal, 30 mph).
- Alan studies the Elephant (mammal, 25 mph).
So, the assignments for each student are:
1. David - Giraffe
2. Ping - Sailfish
3. Mandy - Dolphin
4. Alan - Elephant
We can represent this in a table for clarity:
| Student | Animal |
|---------|-----------|
| David | Giraffe |
| Ping | Sailfish |
| Mandy | Dolphin |
| Alan | Elephant |
This concludes the assignments based on the given constraints.
