In the Pink country, there are 540,000 inhabitants, which is 10% of the inhabitants of the Blue country. In the Yellow country, 40% of the total number of inhabitants of the Pink country live. In the Violet country, there are 78,000 more inhabitants than in the Yellow country. How many inhabitants are there in the Emerald city, if the total number of inhabitants in the Magic country is 3,000,000?

Solution:

• 1. Calculate the number of inhabitants in the Blue country: If 540,000 inhabitants represent 10%, then the total number of inhabitants is 540,000 / 0.10 = 5,400,000.
• 2. Calculate the number of inhabitants in the Yellow country: 40% of the Pink country's inhabitants is 540,000 * 0.40 = 216,000.
• 3. Calculate the number of inhabitants in the Violet country: 216,000 (Yellow country) + 78,000 = 294,000.
• 4. Calculate the total inhabitants in Pink, Yellow, and Violet countries: 540,000 + 216,000 + 294,000 = 1,050,000.
• 5. Calculate the inhabitants in other countries (including Emerald city): 3,000,000 (Magic country total) - 1,050,000 = 1,950,000.
• 6. The question asks for the inhabitants of the Emerald city, but the text only provides the total inhabitants of the Magic country and the breakdown for Pink, Yellow, and Violet countries. There is not enough information to determine the exact number of inhabitants in the Emerald city specifically.

Answer: The number of inhabitants in the Emerald city cannot be determined from the information provided.