1. **State the problem:** Ambaye has cows and oxes. Together, they have 512 eyes and 1024 legs. We know Ambaye has 204 oxes. We need to find how many cows he has.
2. **Define variables:** Let $c$ be the number of cows.
3. **Important facts:**
- Each cow and ox has 2 eyes.
- Each cow and ox has 4 legs.
4. **Use the eyes information:** Total eyes = 512
Since each animal has 2 eyes,
$$2(c + 204) = 512$$
Simplify:
$$c + 204 = \frac{512}{2} = 256$$
$$c = 256 - 204 = 52$$
5. **Use the legs information to verify:** Total legs = 1024
Each animal has 4 legs,
$$4(c + 204) = 1024$$
Simplify:
$$c + 204 = \frac{1024}{4} = 256$$
$$c = 256 - 204 = 52$$
6. **Conclusion:** Ambaye has **52 cows**.
This matches both eyes and legs counts, confirming the answer.
Cows Oxes Count Bec97B
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