Formulate a system of equations for the situation below and solve. In a survey o

Question

Formulate a system of equations for the situation below and solve. 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 360 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 answered "yes, no, " and "not sure"? (a) "yes" % (b) "no" % (c) "not sure"%

Explanation / Answer

Solution:

Let us denote the numbers of answers for "no" as no, "not sure" as ns and "yes" as y,

then we have

no+ns =360

y - no = 360

and

no + ns+ y = 1000

y=1000-360 = 640

no = 630-360 = 270

ns = 360-270 = 90

(a) percentage of respondents answered "yes = (640 /1000) * 100

= 64%

(b) "no "

= 27%

and

(c) " not sure "

= 9%

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