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Animal Lovers

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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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## Animal Lovers

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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?

How many men do not own dogs?

How many men own cats?

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 

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

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

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

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

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

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

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

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

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

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

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

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