In a survey of 1000 adults aged 18 and older, the following question was posed:

Question

In a survey of 1000 adults aged 18 and older, the following question was posed: "Are other travelers' online reviews trustworthy?" The participants were asked to answer "yes," "no," or "not sure." The survey revealed that 330 answered "no" or "not sure." It also showed that the number of those who answered "yes" exceeded the number of those who answered "no" by 420. What percentage of respondents answered "yes," "no," and "not sure"? (Let x represent the number of respondents who answered "yes", y represent the number of respondents who answered "no", and z represent the number of respondents who answered "not sure".)

=1000

=330

=420

Explanation / Answer

Amswered No = 330

Answered yes exceeded who answered no by 420 = 420

Total respondents = 1000

yes respondents = 1000 - 330 = 670
No respondents = 670 - 420 = 250
Not sure respondents = 330 - 250 = 80

percentage of respondents answered "yes,"
= 670/1000 = 67%

percentage of respondents answered "N0,"
= 250/1000 = 25%

percentage of respondents answered "not sure,"
= 80/1000 = 8%

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