Venn Diagrams and Cardinality An insurance conducted a survey to determine how people travelled during their vacation. It was found that 2,146 people flew; 1,202 people flew and used a boat; 305 flew, used a boat, and drove; 1,649 flew but did not drive; 1,242 drove but did not use a boat; 611 used both boats and cars; 3,055 used either a car or a boat (or both); and 223 did not travel and just stayed home. How many people participated in the survey?

A survey of 300 workers yielded the following information: 231 workers belonged to a union and 195 were Democrats. If 172 of the union members were Democrats, how many workers were neither belonged to a union nor were Democrats?

A pet store keeps track of the purchases of customers over a four hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or product for a different kind of pet. She found that 83 purchased a dog product; 101 purchased a cat product; 22 purchased a fish product; 31 purchased a dog and a cat product; 8 purchased a dog and a fish product; 10 purchased a cat and a fish product; 6 purchased a dog, a cat, and a fish product, 34 purchased a product for a pet other than a dog, cat, or fish. How many purchases were for a dog or a fish product?

One hundred students were asked which fast food restaurants they had visited in thepast month. The results are as follows:47 ate at McDonald’s;46 ate at Taco Bell;44 ate at Wendy’s;17 ate at McDonald’s and Taco Bell;19 ate at Taco Bell and Wendy’s;22 ate at Wendy’s and McDonald’s;13 ate at all three.Determine how many ate only at McDonald’s.