12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? 18:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a
convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store.
25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a
convertible and a TV. 15 owned all three items.
a. How many athletes did not own any of the three items?
b. How many owned à convertible and a TV, but not a store?
36
c. How many athletes owned a convertible or a TV?
d. How many athletes owned exactly one type of item in the survey?
e. How many athletes owned at least one type of item in the survey?
f. How many owned a TV or a store, but not a convertible?
Transcribed Image Text:12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
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