a survey was conducted. 92 students were asked if they have been to peru, belgium and denmark. 41 have been to?
peru, 51 have been to belgium and 38 have been to denmark. 18 have been to peru and belgium but not denmark. 29 have been to denmark but not peru 43 said they have been to peru or belgium but not denmark 46 have been to at least 2 of the places 13 haven't been to any of them how many students have been to belgium and denmark but not peru?
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Make a Venn diagram with three overlapping circles. That makes a total of 8 regions, that we will label B, BD, BDP, BP, D, DP, P, and X (for none). Then we have: Givens: 1. P + BP + DP + BDP = 41 2. D + BD + DP + BDP = 38 3. B + BD + BP + BDP = 51 4. BP = 18 5. D + BD = 29 6. P + BP + B = 43 7. BD + BP + DP + BDP = 46 8. X = 13 Conclusions: 9. DP + BDP = 9 (from 2 & 5) 10. P = 41 - 18 - 9 = 14 (from 1 & 4 & 9) 11. BD = 46 - 18 - 9 = 19 (from 7 & 4 & 9) That's what is asked, since BD = Belgium and Denmark but not Peru = 19 P.S. If you finish figuring out all the numbers, it turns out that B = 11 P = 14 D = 10 BD = 19 BP = 18 DP = 6 BDP = 3 Those numbers add up to 81. But 81 + 13 = 94. So either the total number of students is 94, or the number of students who haven't been to any of them is 11, not 13. So you either copied the problem incorrectly, or there is a mistake in the problem.
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