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

timer Asked: Nov 29th, 2015
account_balance_wallet $5

Question Description

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"?

Tutor Answer

School: New York University

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 


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.

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