Question

directions: use the venn diagram below to answer the questions. 100 people were asked what kind of pet they have. \d\ represents dogs, \c\ represents cats, and
\ represents rabbits. 12. how many people have all 3 animals? ______ 13. how many people have a dog and a cat? ____ 14. how many people do not have any of these animals? ____ 15. how many people have only a rabbit or a cat? ______

Explanation:

Step1: Identify intersection for all 3 animals

The number in the intersection of D, C and R is 3. So 3 people have all 3 animals.

Step2: Identify intersection of dog and cat

The number in the intersection of D and C (including the part that is also in R) is 18 + 3=21. So 21 people have a dog and a cat.

Step3: Calculate number of people with no pets

First, sum up the numbers in the Venn - diagram regions: 18+7 + 3+4+7+4 = 43. There are 100 people in total. So the number of people with no pets is 100-(43 + 25)=32.

Step4: Calculate number of people with only rabbit or cat

People with only rabbit is 4, people with only cat is 7. So the number of people with only a rabbit or a cat is 4 + 7=11.

Answer:

1. 3
2. 21
3. 32
4. 11