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Difficulty: MediumCaselets and Paragraph-Based Data

A state tourism board recorded a total of 8,5008,500 visitors across three heritage sites—Site Alpha, Site Beta, and Site Gamma—during a cultural festival. The number of visitors to Site Alpha accounted for 40%40\% of the total visitors. Out of the visitors to Site Alpha, the ratio of domestic to international tourists was 3:23:2. Site Beta received 1,5001,500 fewer visitors than Site Alpha. At Site Beta, the number of international tourists was equal to the number of international tourists at Site Alpha. The remaining visitors went to Site Gamma, where 70%70\% were domestic tourists.

What is the difference between the total number of domestic tourists and the total number of international tourists across all three sites?

  1. A
    900900
  2. B
    1,4201,420
  3. 1,1401,140Answer
  4. D
    2,3402,340

Answer

The difference between the total number of domestic tourists and the total number of international tourists is 1,1401,140.
To find the final difference, the data must be extracted step-by-step for each site. Site Alpha has 3,4003,400 visitors (40%40\% of 8,5008,500), splitting into 2,0402,040 domestic and 1,3601,360 international based on the 3:23:2 ratio. Site Beta has 1,9001,900 visitors (3,400−1,5003,400 - 1,500), with 1,3601,360 international tourists (matching Alpha) and the remaining 540540 being domestic. Site Gamma receives the leftover 3,2003,200 visitors, of which 70%70\% (2,2402,240) are domestic and 960960 are international. Summing the categories gives 4,8204,820 domestic and 3,6803,680 international tourists. The final difference is 4,820−3,680=1,1404,820 - 3,680 = 1,140.

Step-by-Step Solution

1
Calculate the tourist breakdown for Site Alpha.
Total = 3,4003,400. Domestic = 2,0402,040. International = 1,3601,360.
Site Alpha has 40%40\% of 8,5008,500 total visitors, which is 3,4003,400. The ratio of domestic to international is 3:23:2. Domestic = 35×3,400=2,040\frac{3}{5} \times 3,400 = 2,040. International = 25×3,400=1,360\frac{2}{5} \times 3,400 = 1,360.
2
Calculate the tourist breakdown for Site Beta.
Total = 1,9001,900. International = 1,3601,360. Domestic = 540540.
Site Beta received 1,5001,500 fewer visitors than Site Alpha, so 3,400−1,500=1,9003,400 - 1,500 = 1,900. The number of international tourists equals that of Site Alpha (1,3601,360). The remaining 1,900−1,360=5401,900 - 1,360 = 540 are domestic tourists.
3
Calculate the tourist breakdown for Site Gamma.
Total = 3,2003,200. Domestic = 2,2402,240. International = 960960.
Site Gamma received the remaining visitors: 8,500−(3,400+1,900)=3,2008,500 - (3,400 + 1,900) = 3,200. Since 70%70\% are domestic, Domestic = 0.70×3,200=2,2400.70 \times 3,200 = 2,240. International = 3,200−2,240=9603,200 - 2,240 = 960.
4
Calculate overall totals and their difference.
Total Domestic = 4,8204,820. Total International = 3,6803,680. Difference = 1,1401,140.
Total Domestic = 2,040+540+2,240=4,8202,040 + 540 + 2,240 = 4,820. Total International = 1,360+1,360+960=3,6801,360 + 1,360 + 960 = 3,680. The difference is 4,820−3,680=1,1404,820 - 3,680 = 1,140.

Key Concept

Data Extraction and Sequential Problem Solving in Caselets
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Topics

Caselets and Paragraph-Based Data

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