In a recent survey people were asked if they took a vacation in the summer,winter, or spring in the past year. The results were 73 took a vacation in the summer, 51 took a vacation in the winter, 27 took a vacation in the spring, and 2 had taken no vacation. Also, 10 had taken vacations at all three times, 33 had taken both a summer and a winter vacation, 18 had taken only a winter vacation, and 5 had taken both a summer and spring butnot a winter vacation. a. How many people had been surveyed? b. How many people had taken vacations at exactly two times of the year? c. How many people had taken vacations during at most one time of the year? d. What percentage had taken vacations during both summer and winter but not spring?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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In a recent survey people were asked if they took a vacation in the summer,winter, or spring in the past year. The
results were 73 took a vacation in the summer, 51 took a vacation in the winter, 27 took a vacation in the spring, and
2 had taken no vacation. Also, 10 had taken vacations at all three times, 33 had taken both a summer and a winter
vacation, 18 had taken only a winter vacation, and 5 had taken both a summer and spring butnot a winter vacation.
a. How many people had been surveyed?
b. How many people had taken vacations at exactly two times of the year?
c. How many people had taken vacations during at most one time of the year?
d. What percentage had taken vacations during both summer and winter but not spring?
Transcribed Image Text:In a recent survey people were asked if they took a vacation in the summer,winter, or spring in the past year. The results were 73 took a vacation in the summer, 51 took a vacation in the winter, 27 took a vacation in the spring, and 2 had taken no vacation. Also, 10 had taken vacations at all three times, 33 had taken both a summer and a winter vacation, 18 had taken only a winter vacation, and 5 had taken both a summer and spring butnot a winter vacation. a. How many people had been surveyed? b. How many people had taken vacations at exactly two times of the year? c. How many people had taken vacations during at most one time of the year? d. What percentage had taken vacations during both summer and winter but not spring?
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