Formulate a system of equations for the situation below and solve:

Mathematics
Tutor: None Selected Time limit: 1 Day

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 370 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 340. What percentage of respondents answered "yes," "no," and "not sure"?

Nov 29th, 2015

Thank you for the opportunity to help you with your question!

denote the numbers of answers for "no" as no, "not sure" as ns and "yes" as y, then we have 

no+ns =370

y-no = 340 

 and 

no+ns+y = 1000

y=1000-370 = 630 

no = 630-340 = 290 

ns = 370-290 = 80 

percentage of respondents answered "yes," "no," and "not sure" are: 

63%, 29% and 8% respectively

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 29th, 2015

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Nov 29th, 2015
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