Question

In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the tourists who have been to china also been to India and 260 have not been either of the countries, find the number of tourists who have been india but not china.​

Answer 1

585

Explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

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80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.