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 350 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 360. 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 = 350 = 360
Formulate but do not solve the problem.
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 350 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 360. 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".)
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= | 1000 |
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= | 350 |
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= | 360 |
Given:
Adults in total: 1000. ----(1)
Number of people answered "no" or "not sure" : 350. ----(2)
Number of those who answered "yes" exceeded the number of those who answered "no" by 360. -----(3)
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".
So, we are given,
x+y+z=1000, -----(a)
y+z=350, ------(b)
and x=y+360 ------(c)
respectively.
Now, the answer can be found by solving the equations (a), (b), and (c) or (1), (2), and (3).
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