Subjects algebra

Pharaoh Goats 682F8C

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1. **State the problem:** The Pharaoh kept 1020 white goats, which represent 17% of the total flock. We need to find the total number of goats in the flock. 2. **Formula used:** If a part represents a percentage of the total, then: $$\text{Part} = \frac{\text{Percentage}}{100} \times \text{Total}$$ We want to find the total, so rearranging: $$\text{Total} = \frac{\text{Part} \times 100}{\text{Percentage}}$$ 3. **Apply the values:** $$\text{Total} = \frac{1020 \times 100}{17}$$ 4. **Calculate:** $$\text{Total} = \frac{102000}{17}$$ 5. **Simplify the division:** $$\text{Total} = 6000$$ 6. **Interpretation:** The Pharaoh had 6000 goats in total. 7. **Diagram explanation:** - 17% of the flock corresponds to 1020 goats (white goats). - The remaining 83% corresponds to the rest of the goats. This helps visualize the part-whole relationship. **Final answer:** The Pharaoh had **6000** goats in total.