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David, Ping, Mandy, and Alan are each studying one of the animals shown in the table for a science project.

\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{4}{|c|}{Animal Study Project} \\
\hline
Animal & Speed & Type & Habitat \\
\hline
Elephant & 25 mph (running) & Mammal & Grasslands \\
\hline
Sailfish & 68 mph (swimming) & Fish & Oceans \\
\hline
Giraffe & 32 mph (running) & Mammal & Grasslands \\
\hline
Dolphin & 30 mph (swimming) & Mammal & Oceans \\
\hline
\end{tabular}

David is studying a mammal, but Ping is not. 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.

Use the process of elimination to make a table of the animal each student is studying.



Answer :

GinnyAnswer
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.

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