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Animal Lovers Pamela Leutwyler There are 100 animal lovers at a picnic. Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs. All of the dog owners are men. All of the cat owners have goldfish. 50 own dogs and goldfish. There are 35 women. How many own fish but not cats?

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Presentation Transcript
slide1

Animal Lovers

Pamela Leutwyler

slide2

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

slide3

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

If D  C = U

then D   C  = 

D 

C 

slide4

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

D 

C 

30

slide5

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

If D  M

then M   D 

D 

C 

M  = W

W

the complement of the set

of men is the set of women.

30

slide6

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

If C  F

then F   C 

D 

C 

F 

W

30

slide7

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

D 

C 

F 

W

20

30

slide8

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

D 

C 

F 

W

35

20

30

slide9

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

D 

C 

F 

W

10

35

20

30

slide10

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

D 

C 

F 

W

10

35

5

20

30

slide11

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

D 

C 

F 

W

10

35

5

20

30

slide12

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

20

D 

C 

F 

W

10

35

5

20

30

slide13

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

20

5

D 

C 

F 

W

10

35

5

20

30

slide14

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

20

5

35

D 

C 

F 

W

10

35

5

20

30

slide15

There are 100 animal lovers at a picnic.

Everyone has a dog or a cat. 60 own dogs. 30 own cats and dogs.

All of the dog owners are men. All of the cat owners have goldfish.

50 own dogs and goldfish. There are 35 women.

How many own fish but not cats?

How many men do not own dogs?

How many men own cats?

20

5

35

D 

C 

F 

W

10

35

5

20

30