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 310 answered "no" or "not sure." It also showed that the number of those who answered "yes" exceeded the number of those who answered "on" 450 by What percentage of respondent answered "yes, "no, " and "not sure"? a) "yes" (b) "no"

Explanation / Answer

Say x respondants answered as 'Yes'

y respondants answered as 'no' and

z respondants answered as 'not sure'

Now, from the given information, we can set the equations as:

x+y+z+ = 1000

y+z = 310

Subtracting equation two from equation 1, we get:

x = 1000-310 = 690

x = 690

We get the next equation as x = y + 460

On plugging the value of x, we get:

y = 690 - 460 = 230

y = 230

Plugging x = 690 and y = 230 in x+y+z = 1000, we get:

z = 1000 - (230+690) = 1000 - 920 = 80

z = 80

Therefore,

Yes = 69%

No = 23%

Not Sure = 8%

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