Question: 24 Redcliff Knights enter battle against 32 Korblox warriors. One fourth of each army is defeated at the start. Then, one half of the remaining Korblox warriors manage to defeat one Redcliff Knight each, before the Korblox army is fought back and defeated. How many Redcliff Knights are left standing?
1. **State the problem:** We start with 24 Redcliff Knights and 32 Korblox warriors. One fourth of each army is defeated at the start.
2. **Calculate the number of warriors defeated initially:**
- Redcliff Knights defeated initially: $$\frac{1}{4} \times 24 = 6$$
- Korblox warriors defeated initially: $$\frac{1}{4} \times 32 = 8$$
3. **Calculate the remaining warriors after initial defeat:**
- Remaining Redcliff Knights: $$24 - 6 = 18$$
- Remaining Korblox warriors: $$32 - 8 = 24$$
4. **Half of the remaining Korblox warriors defeat one Redcliff Knight each:**
- Half of remaining Korblox warriors: $$\frac{1}{2} \times 24 = 12$$
- These 12 Korblox warriors defeat 12 Redcliff Knights.
5. **Calculate Redcliff Knights left after this defeat:**
- Redcliff Knights left: $$18 - 12 = 6$$
6. **Final answer:**
- There are $$6$$ Redcliff Knights left standing after the battle.