1. Pamela Leutwyler

2. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish?

3. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F

4. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8

5. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 a b c d e f

6. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a b c d e f a + b + d + 8 = 62 a + b + d = 54

7. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a b c d e f a + b + d = 54 a + d = 25 a

8. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c d e f a + b + d = 54 a + d = 25 a b = 54 – 25 = 29

9. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c d e f a

10. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c d e f a n(E  S) = n(E) + n(S) – n(E  S)

11. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c d e f a n(E  S) = n(E) + n(S) – n(E  S) 84 = 62 + 62 - 40

12. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c d e f a n(E  S) = n(E) + n(S) – n(E  S) 84 = 62 + 62 - 40 d + 29 = 40 d = 11

13. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c 11 e f a n(E  S) = n(E) + n(S) – n(E  S) 84 = 62 + 62 - 40 d + 29 = 40 d = 11

14. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c 11 e f a

15. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 a 29 c 11 e f a a = 14

16. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 c 11 e f 14 a = 14

17. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 c 11 e f 14

18. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 c 11 e f 14 c = 12

19. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e f 14 c = 12

20. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e f 14

21. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e f 14 f = 10

22. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e 10 14 f = 10

23. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e 10 14

24. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 e 10 14 e = 7

25. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 7 10 14 e = 7

26. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 7 10 14 9

27. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 7 10 14 9

28. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 7 10 14 9 44

29. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 10 14 9 7 38

30. There are 100 tourists on a bus. 84 speak English OR Spanish. 62 speak English. 62 speak Spanish. 8 speak ONLY English. 25 speak English AND French. 23 speak Spanish AND French. 81 speak English OR French. How many speak French? How many do NOT speak English? How many speak NEITHER French NOR Spanish? E S F 8 E 8 29 12 11 7 10 14 9 17