Venn Diagrams

In a class, there are 15 students who like chocolate. 13 students like vanilla. 10 students like neither. If there are 35 people in the class, how many students like chocolate and vanilla?

There are 15,000 students at college X.  Of those students, 1,700 are taking both ethics and metaphysics this semester.  There are 2,200 total students taking ethics.  9,500 students are taking neither of these classes.  How many students are taking metaphysics this term?

In a class of 100 students, 43 play basketball and 37 play baseball. 9 students play both. How many students do not play either sport?

A given company has 1500 employees. Of those employees, 800 are computer science majors. 25% of those computer science majors are also mathematics majors. That group of computer science/math dual majors makes up one third of the total mathematics majors. How many employees have majors other than computer science and mathematics?

In a population of cats, 10% are tabby colored, 5% are pregnant, and 3% are both tabby and pregnant. What is the probability that a cat is tabby but not pregnant?

At an overpriced department store there are 112 customers. If 43 have purchased shirts, 57 have purchased pants, and 38 have purchased neither, how many purchased both shirts and pants?

In a school, 70 students are taking classes. 35 of them will be taking Accounting and 20 of them will be taking Economics. 7 of them are taking both of these classes. How many of the students are not in either class?

There are 400 students in a class. 50 of them take German and 150 take Latin. Some students take two languages. There are 230 students who take no language whatsoever. How many students are there who take at least one language?