Hey guys
Let's use a really easy number in place of N here for a second
It needs to be divisible by 4 and 3 because the fractions used are \(\frac{1}{4}\) and \(\frac{1}{3}\)
Let's use 120
\(\frac{1}{4}\) answered yes to the first question:
\(\frac{1}{4}\)(120) = 30
\(\frac{1}{3}\) of those people answered yes to the second question:
\(\frac{1}{3}\)(30) = 10
So \(\frac{10}{120}\) answered yes to both questions
That means \(\frac{110}{120}\) did not answer yes to both questions
This is what the question is asking for
\(\frac{110}{120} = \frac{11}{12
}\) of the total number of people N did not answer yes to both questions:
\(\frac{11}{12}\)N
The answer is (E)
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