No the solution still does not make sense to me. Let the total number of people surveyed be x.
56% stated they are married
30% stated they are not(this is not out of the entire survey population). It is only 30% of those who are married.
How is the equation
56 + 0.3x = x derived here. Why are we not considering the remaining 14% people who were surveyed? I chose 80 as the answer only because it was close to 86 and luckily it is the answer here but please help me understand.
Let the total survey population be 100x. Now, 56x are married.
Again, let the total no of married people in the survey be 100y. Thus, 30% of them lied about being married. Thus, 70% were honest about it.
Thus, 70y = 56x
And, therefore 100y = 80x.
Thus, 80% were actually married.
All that is equal and not-Deep Dive In-equality
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