At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat. Suppose a total of 52 people areat the meeting. Use C for the set of cat owners, D for the set of dog ownersand G for the set of goldfish owners. Answer the following questions andshow your work.How many people own both cat and dog?

Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.

Total no of people =52

The venn diagram attached gives a clear picture

assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.

Totalling all mutually exclusive we get

64-3x=52

x=4

No of owners who own both cat and dog =4