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15 May 2023, 11:39
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Difficulty:
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Question Stats:
75% (02:00) correct
25%
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Out of a group of 84 travelers, 50 have visited Estonia, 45 have visited Latvia and 28 have visited Lithuania. If 15 of the travelers have visited all three countries and every traveler has visited at least one, how many have visited exactly two of them?
(A) 9
(B) 12
(C) 24
(D) 39
(E) 45
(A) 9
(B) 12
(C) 24
(D) 39
(E) 45
25 May 2023, 10:06
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Total travellers = 84
But 15 of them have already visited 3 countries - so we must subtract this number from the following
Total traveller left = 84 - 15 = 69
Estonia = 50 - 15 = 35
Latvia = 45 - 15 - 30
Lithuania = 28 - 15 = 13
Sum (travellers remaining from three countries)= 35+30+13 = 78
Since the remaining have all visited atleast one country, therefore the difference will be the number of people who have visited two countries, which is
Sum (travellers remaining from three countries) - Total travellers left
=78 - 69
= 9 travellers
But 15 of them have already visited 3 countries - so we must subtract this number from the following
Total traveller left = 84 - 15 = 69
Estonia = 50 - 15 = 35
Latvia = 45 - 15 - 30
Lithuania = 28 - 15 = 13
Sum (travellers remaining from three countries)= 35+30+13 = 78
Since the remaining have all visited atleast one country, therefore the difference will be the number of people who have visited two countries, which is
Sum (travellers remaining from three countries) - Total travellers left
=78 - 69
= 9 travellers
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Schools: Fuqua '27 (WL) Darden '27 (A$) Booth '27 (D) LBS '26 (I) Ross '27 (I) Said '27 (A) Judge '26 (II) IESE '27 (I) Tuck '27 (I)
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28 Feb 2024, 02:58
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Is there another way to solve this?
