. In a survey of 50 music lovers, 18 enjoyed classical music, 29 enjoyed popular music, and 14 enjoyed both. How many in this survey enjoyed classical music only? popular music only? neither of the two?          2. The Community Hospital has 500 patients of whom 78 have high blood pressure only, 130 have heart problems only, and 51 have both high blood pressure and heart problems. How many patients have neither high blood pressure nor heart problems?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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Topic: Venn Diagrams and Algebra of Sets

Solve the following problems:

1. In a survey of 50 music lovers, 18 enjoyed classical music, 29 enjoyed popular music, and 14 enjoyed both. How many in this survey enjoyed classical music only? popular music only? neither of the two?         

2. The Community Hospital has 500 patients of whom 78 have high blood pressure only, 130 have heart problems only, and 51 have both high blood pressure and heart problems. How many patients have neither high blood pressure nor heart problems?

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